Oswin Aichholzer, Ruy Fabila-Monroy, Philipp Kindermann, Irene Parada, Rosna
Paul, Daniel Perz, Patrick Schnider, and Birgit Vogtenhuber.
Perfect Matchings
with Crossings.
Algorithmica, 86:697--716, 2024.
[ bib |
DOI ]
Oswin Aichholzer, Anna Brötzner, Daniel Perz, and Patrick Schnider.
Flips in Odd
Matchings.
In Proceedings of the 36th Canadian Conference on Computational
Geometry (CCCG 2024), pages 299--303, 2024.
[ bib |
.pdf ]
Oswin Aichholzer, Anna Brötzner, Daniel Perz, and Patrick Schnider.
Flips in Odd
Matchings.
In Proceedings of the 40th European Workshop on Computational
Geometry (EuroCG 2024), pages 59:1--59:6, 2024.
[ bib |
.pdf ]
Oswin Aichholzer, Sergio Cabello, Viola Mészáros, and Jan Soukup.
Connected matchings.
In Proceedings of the 40th European Workshop on Computational
Geometry (EuroCG 2024), pages 54:1--54:7, 2024.
[ bib |
.pdf ]
Oswin Aichholzer, Kristin Knorr, Wolfgang Mulzer, Nicolas El Maalouly, Johannes
Obenaus, Rosna Paul, Meghana M. Reddy, Birgit Vogtenhuber, and Alexandra
Weinberger.
Compatible
Spanning Trees in Simple Drawings of Kn.
In Patrizio Angelini and Reinhard von Hanxleden, editors, Graph
Drawing and Network Visualization, pages 16--24, Cham, 2023. Springer
International Publishing.
[ bib |
DOI |
arXiv ]
Oswin Aichholzer, Alfredo García, Irene Parada, Birgit Vogtenhuber, and
Alexandra Weinberger.
Shooting Stars in
Simple Drawings of Km,n.
In Patrizio Angelini and Reinhard von Hanxleden, editors, Graph
Drawing and Network Visualization, pages 49--57, Cham, 2023. Springer
International Publishing.
[ bib |
DOI |
arXiv ]
Oswin Aichholzer, Matias Korman, Yoshio Okamoto, Irene Parada, Daniel Perz,
André van Renssen, and Birgit Vogtenhuber.
Graphs with large
total angular resolution.
Theoretical Computer Science, 943:73--88, 2023.
[ bib |
DOI |
arXiv |
http ]
Oswin Aichholzer, Stefan Felsner, Rosna Paul, Manfred Scheucher, and Birgit
Vogtenhuber.
Bichromatic Perfect
Matchings with Crossings.
In Proceedings of the 39th European Workshop on Computational
Geometry (EuroCG 2023), pages 28:1--28:7, 2023.
[ bib |
.pdf ]
Oswin Aichholzer, Kristin Knorr, Wolfgang Mulzer, Johannes Obenaus, Rosna Paul,
and Birgit Vogtenhuber.
Flipping Plane
Spanning Paths.
In Chun-Cheng Lin, Bertrand M. T. Lin, and Giuseppe Liotta, editors,
WALCOM: Algorithms and Computation, pages 49--60, Cham, 03 2023.
Springer Nature Switzerland.
[ bib |
DOI |
arXiv ]
Oswin Aichholzer, Man-Kwun Chiu, Hung P. Hoang, Michael Hoffmann, Jan
Kynčl, Yannic Maus, Birgit Vogtenhuber, and Alexandra Weinberger.
Drawings
of Complete Multipartite Graphs up to Triangle Flips.
In Erin W. Chambers and Joachim Gudmundsson, editors, 39th
International Symposium on Computational Geometry (SoCG 2023), volume 258 of
Leibniz International Proceedings in Informatics (LIPIcs), pages
6:1--6:16, Dagstuhl, Germany, 2023. Schloss Dagstuhl -- Leibniz-Zentrum
für Informatik.
[ bib |
DOI |
http ]
Oswin Aichholzer, Birgit Vogtenhuber, and Alexandra Weinberger.
"Different Types of
Isomorphisms of Drawings of Complete Multipartite Graphs".
In Michael A. Bekos and Markus Chimani, editors, Graph Drawing
and Network Visualization, volume 14466 of Lecture Notes in Computer
Science (LNCS), pages 34--50, Cham, 2023. Springer Nature Switzerland.
[ bib |
DOI |
arXiv ]
Oswin Aichholzer, Stefan Felsner, Rosna Paul, Manfred Scheucher, and Birgit
Vogtenhuber.
"Bichromatic Perfect
Matchings with Crossings".
In Michael A. Bekos and Markus Chimani, editors, Graph Drawing
and Network Visualization, volume 14465 of Lecture Notes in Computer
Science (LNCS), pages 124--132, Cham, 2023. Springer Nature Switzerland.
[ bib |
DOI |
arXiv ]
Oswin Aichholzer, Alan Arroyo, Zuzana Masárová, Irene
Parada, Daniel Perz, Alexander Pilz, Josef Tkadlec, and
Birgit Vogtenhuber.
On Compatible
Matchings.
Journal of Graph Algorithms and Applications, 26(2):225--240,
2022.
[ bib |
DOI ]
Oswin Aichholzer, Erik D. Demaine, Matias Korman, Anna Lubiw, Jayson Lynch,
Zuzana Masárová, Mikhail Rudoy, Virginia Vassilevska Williams, and
Nicole Wein.
Hardness of Token
Swapping on Trees.
In Shiri Chechik, Gonzalo Navarro, Eva Rotenberg, and Grzegorz
Herman, editors, 30th Annual European Symposium on Algorithms (ESA
2022), volume 244 of Leibniz International Proceedings in Informatics
(LIPIcs), pages 3:1--3:15, Dagstuhl, Germany, 2022. Schloss Dagstuhl --
Leibniz-Zentrum für Informatik.
[ bib |
DOI |
arXiv |
http ]
Oswin Aichholzer, Man-Kwun Chiu, Hung P. Hoang, Michael Hoffmann, Yannic Maus,
Birgit Vogtenhuber, and Alexandra Weinberger.
Gioan's Theorem for
complete bipartite graphs.
In Proc. 38th European Workshop on Computational Geometry
(EuroCG 2022), pages 31:1--31:6, Perugia, Italy, 2022.
[ bib |
http ]
Oswin Aichholzer, Alfredo García, Javier Tejel, Birgit Vogtenhuber, and
Alexandra Weinberger.
Twisted Ways to
Find Plane Structures in Simple Drawings of Complete Graphs.
In Xavier Goaoc and Michael Kerber, editors, 38th International
Symposium on Computational Geometry (SoCG 2022), volume 224 of Leibniz
International Proceedings in Informatics (LIPIcs), pages 5:1--5:18,
Dagstuhl, Germany, 2022. Schloss Dagstuhl -- Leibniz-Zentrum für
Informatik.
[ bib |
DOI |
arXiv |
http ]
Oswin Aichholzer, Johannes Obenaus, Joachim Orthaber, Rosna Paul, Patrick
Schnider, Raphael Steiner, Tim Taubner, and Birgit Vogtenhuber.
Edge Partitions of
Complete Geometric Graphs.
In Xavier Goaoc and Michael Kerber, editors, 38th International
Symposium on Computational Geometry (SoCG 2022), volume 224 of Leibniz
International Proceedings in Informatics (LIPIcs), pages 6:1--6:16,
Dagstuhl, Germany, 2022. Schloss Dagstuhl -- Leibniz-Zentrum für
Informatik.
[ bib |
DOI |
http ]
Oswin Aichholzer, Julia Obmann, Pavel Paták, Daniel Perz, Josef Tkadlec,
and Birgit Vogtenhuber.
Disjoint
Compatibility via Graph Classes.
In Michael A. Bekos and Michael Kaufmann, editors,
Graph-Theoretic Concepts in Computer Science. WG 2022., volume 13453 of
Lecture Notes in Computer Science (LNCS), pages 16--28, Cham, 2022. Springer
International Publishing.
[ bib |
DOI ]
Oswin Aichholzer, Hugo A. Akitaya, Kenneth C. Cheung, Erik D. Demaine,
Martin L. Demaine, Sándor P. Fekete, Linda Kleist, Irina Kostitsyna,
Maarten Löffler, Zuzana Masárová, Klara Mundilova, and Christiane
Schmidt.
"Folding
polyominoes with holes into a cube".
Computational Geometry, 93:101700, 2021.
[ bib |
DOI |
arXiv |
http |
.pdf ]
Oswin Aichholzer, Alan Arroyo, Zuzana Masárová, Irene Parada, Daniel
Perz, Alexander Pilz, Josef Tkadlec, and Birgit Vogtenhuber.
On Compatible
Matchings.
In Ryuhei Uehara, Seok-Hee Hong, and Subhas C. Nandy, editors,
WALCOM: Algorithms and Computation, pages 221--233. Springer International
Publishing, 2021.
Best Paper Award.
[ bib |
DOI |
arXiv ]
Oswin Aichholzer, Michael Hoffmann, Johannes Obenaus, Rosna Paul, Daniel Perz,
Nadja Seiferth, Birgit Vogtenhuber, and Alexandra Weinberger.
Plane Spanning Trees
in Edge-Colored Simple Drawings of Kn.
In Graph Drawing and Network Visualization (GD 2020), Lecture
Notes in Computer Science (LNCS), pages 482--489. Springer International
Publishing, 2021.
[ bib |
DOI |
arXiv |
http ]
Oswin Aichholzer, Alfredo García, Javier Tejel, Birgit Vogtenhuber, and
Alexandra Weinberger.
Plane Matchings in
Simple Drawings of Complete Graphs.
In Proceedings of the Computational Geometry: Young Researchers
Forum, pages 6--10, 2021.
[ bib |
http ]
Oswin Aichholzer, Ruy Fabila-Monroy, Philipp Kindermann, Irene Parada, Rosna
Paul, Daniel Perz, Patrick Schnider, and Birgit Vogtenhuber.
Perfect Matchings
with Crossings.
In Proceedings of the Computational Geometry: Young Researchers
Forum, pages 24--27, 2021.
[ bib |
http ]
Oswin Aichholzer, Alfredo García, Javier Tejel, Birgit Vogtenhuber, and
Alexandra Weinberger.
Plane paths in
simple drawings of complete graphs.
In Proc. XIX Encuentros de Geometría Computacional,
page 4, 2021.
[ bib |
http ]
Oswin Aichholzer, Maarten Löffler, Jayson Lynch, Zuzana Masárová,
Joachim Orthaber, Irene Parada, Rosna Paul, Daniel Perz, Birgit Vogtenhuber,
and Alexandra Weinberger.
Dominect: A Simple
yet Deep 2-Player Board Game.
In 23rd Thailand-Japan Conference on Discrete and Computational
Geometry, Graphs, and Games (TJCDCGGG 2020+1), pages 112--113, 2021.
[ bib |
http ]
Oswin Aichholzer, Martin Balko, Michael Hoffmann, Jan Kynčl, Wolfgang
Mulzer, Irene Parada, Alexander Pilz, Manfred Scheucher, Pavel Valtr, Birgit
Vogtenhuber, and Emo Welzl.
Minimal
representations of order types by geometric graphs.
Journal of Graph Algorithms and Applications, 24(4):551--572,
2020.
special issue of the 27th International Symposium on Graph Drawing
and Network Visualization GD2019.
[ bib |
DOI ]
Oswin Aichholzer, Alfredo García, Irene Parada, Birgit Vogtenhuber, and
Alexandra Weinberger.
Simple Drawings of
Km,n Contain Shooting Stars.
In Proceedings of the 36th European Workshop on Computational
Geometry (EuroCG2020), pages 36:1--36:7, Würzburg, Germany, 2020.
[ bib |
.pdf ]
O. Aichholzer, L. E. Caraballo, J.M. Díaz-Bá nez, R. Fabila-Monroy,
I. Parada, I. Ventura, and B. Vogtenhuber.
Scheduling drones to
cover outdoor events.
In Proceedings of the 36th European Workshop on Computational
Geometry (EuroCG2020), pages 24:1--24:7, Würzburg, Germany, 2020.
[ bib |
.pdf ]
Oswin Aichholzer, Manuel Borrazzo, Prosenjit Bose, Jean Cardinal, Fabrizio
Frati, Pat Morin, and Birgit Vogtenhuber.
Drawing Graphs as
Spanners.
In Isolde Adler and Haiko Müller, editors, 45th
International Workshop on Graph-Theoretic Concepts in Computer Science.
WG2020., volume 12301 of Lecture Notes in Computer Science (LNCS),
pages 310--324, Leeds, United Kingdom, 2020. Springer International
Publishing.
[ bib |
DOI |
arXiv |
.pdf ]
O. Aichholzer, J. Obmann, P. Paták, D. Perz, and J. Tkadlec.
Disjoint
tree-compatible plane perfect matchings.
In Proceedings of the 36th European Workshop on Computational
Geometry (EuroCG2020), pages 56:1--56:7, Würzburg, Germany, 2020.
[ bib |
.pdf ]
Oswin Aichholzer and Daniel Perz.
Triangles in the colored
Euclidean plane.
In Proc. 35th European Workshop on Computational Geometry
EuroCG '19, pages 10:1--10:7, Utrecht, The Netherlands, 2019.
[ bib |
.pdf |
.pdf ]
Oswin Aichholzer, José Miguel Díaz-Báñez, Thomas Hackl, David
Orden, Alexander Pilz, Inmaculada Ventura, and Birgit Vogtenhuber.
Erdős-Szekeres-Type
Games.
In Proc. 35th European Workshop on Computational Geometry
EuroCG '19, pages 23:1--23:7, Utrecht, The Netherlands, 2019.
[ bib |
.pdf |
.pdf ]
Oswin Aichholzer, Ruy Fabila Monroy, Adrian Fuchs, Carlos Hidalgo Toscano,
Irene Parada, Birgit Vogtenhuber, and Francisco Zaragoza.
On the 2-Colored
Crossing Number.
In Proc. 35th European Workshop on Computational Geometry
EuroCG '19, pages 56:1--56:7, Utrecht, The Netherlands, 2019.
[ bib |
.pdf |
.pdf ]
Oswin Aichholzer, Irene Parada, Manfred Scheucher, Birgit Vogtenhuber, and
Alexandra Weinberger.
Shooting Stars in
Simple Drawings of Km,n.
In Proc. 35th European Workshop on Computational Geometry
EuroCG '19, pages 59:1--59:6, Utrecht, The Netherlands, 2019.
[ bib |
arXiv |
.pdf |
.pdf ]
Oswin Aichholzer, Carlos Alegría Galicia, Irene Parada, Alexander Pilz,
Javier Tejel, Csaba D. Tóth, Jorge Urrutia, and Birgit Vogtenhuber.
Hamiltonian meander
paths and cycles on bichromatic point sets.
In Proc. XVIII Encuentros de Geometría Computacional,
pages 35--38, Girona, Spain, 2019.
[ bib |
.pdf |
.pdf ]
Oswin Aichholzer, Ruy Fabila-Monroy, and Julia Obmann.
On the Triangle Vector.
In Proc. XVIII Encuentros de Geometría Computacional,
pages 55--58, Girona, Spain, 2019.
[ bib |
.pdf |
.pdf ]
Oswin Aichholzer, Ruy Fabila-Monroy, Adrian Fuchs, Carlos Hidalgo-Toscano,
Irene Parada, Birgit Vogtenhuber, and Francisco Zaragoza.
On the 2-colored
crossing number.
In Graph Drawing and Network Visualization. GD 2019, volume
11904 of Lecture Notes in Computer Science (LNCS), pages 87--100,
Prague, Czechia, 2019.
[ bib |
DOI |
arXiv ]
Oswin Aichholzer, Martin Balko, Michael Hoffmann, Jan Kynčl, Wolfgang
Mulzer, Irene Parada, Alexander Pilz, Manfred Scheucher, Pavel Valtr, Birgit
Vogtenhuber, and Emo Welzl.
Minimal
representations of order types by geometric graphs.
In Graph Drawing and Network Visualization. GD 2019, volume
11904 of Lecture Notes in Computer Science (LNCS), pages 101--113,
Prague, Czechia, 2019.
[ bib |
DOI |
arXiv ]
Oswin Aichholzer, Matias Korman, Yoshio Okamoto, Irene Parada, Daniel Perz,
André van Renssen, and Birgit Vogtenhuber.
Graphs with large
total angular resolution.
In Graph Drawing and Network Visualization. GD 2019, volume
11904 of Lecture Notes in Computer Science (LNCS), pages 193--199,
Prague, Czechia, 2019.
[ bib |
DOI |
arXiv ]
Oswin Aichholzer, Linda Kleist, Boris Klemz, Felix Schröder, and Birgit
Vogtenhuber.
On the Edge-Vertex
Ratio of Maximal Thrackles.
In Graph Drawing and Network Visualization. GD 2019, volume
11904 of Lecture Notes in Computer Science (LNCS), pages 482--495,
Prague, Czechia, 2019.
[ bib |
DOI |
arXiv ]
Oswin Aichholzer, Jean Cardinal, Tony Huynh, Kolja Knauer, Torsten Mütze,
Raphael Steiner, and Birgit Vogtenhuber.
Flip distances
between graph orientations.
In 45th International Workshop on Graph-Theoretic Concepts in
Computer Science, volume 11789 of Lecture Notes in Computer Science
(LNCS), pages 120--134, Vall de Nuria, Spain, 2019.
[ bib |
DOI |
arXiv ]
Oswin Aichholzer, Hugo A. Akitaya, Kenneth C. Cheung, Erik D. Demaine,
Martin L. Demaine, Sándor P. Fekete, Linda Kleist, Irina Kostitsyna,
Maarten Löffler, Zuzana Masárová, Klara Mundilova, and Christiane
Schmidt.
Folding
Polyominoes with Holes into a Cube.
In Proc. 31th Annual Canadian Conference on Computational
Geometry CCCG 2019, pages 164--170, Edmonton, Alberta, Canada, 2019.
[ bib |
.pdf |
.pdf ]
Oswin Aichholzer, Michael Biro, Erik Demaine, Martin Demaine, David Eppstein,
Sándor P. Fekete, Adam Hesterberg, Irina Kostitsyna, and Christiane
Schmidt.
Folding Polyominoes
into (Poly)Cubes.
International Journal of Computational Geometry &
Applications, 28(3):197--226, 2018.
[ bib |
DOI ]
O. Aichholzer, M. Balko, T. Hackl, A. Pilz, P. Ramos, P. Valtr, and
B. Vogtenhuber.
Holes in 2-convex
point sets.
In Proc. 28th International Workshop on Combinatorial
Algorithms (IWOCA2017), volume 10765 of Lecture Notes in Computer
Science (LNCS), pages 169--181, Newcastle, Australia, 2018.
[ bib |
DOI ]
O. Aichholzer, M. Balko, T. Hackl, A. Pilz, P. Ramos, P. Valtr, and
B. Vogtenhuber.
Holes in 2-convex
point sets.
Computational Geometry: Theory and Applications, 74:38--49,
2018.
[ bib |
DOI ]
Bernardo M. Ábrego, Oswin Aichholzer, Silvia Fernández-Merchant, Dan
McQuillan, Bojan Mohar, Petra Mutzel, Pedro Ramos, R. Bruce Richter, and
Birgit Vogtenhuber.
Bishellable drawings of
Kn.
SIAM Journal on Discrete Mathematics, 32(4):2482--2492, 2018.
[ bib |
DOI |
arXiv ]
Oswin Aichholzer, Ruy Fabila-Monroy, David Flores-Peñaloza, Thomas Hackl,
Jorge Urrutia, and Birgit Vogtenhuber.
Modem Illumination of
Monotone Polygons.
Computational Geometry: Theory and Applications, 68:101--118,
2018.
Special Issue in Memory of Ferran Hurtado.
[ bib |
DOI |
http ]
Oswin Aichholzer, Martin Balko, Michael Hoffmann, Jan Kynčl, Wolfgang
Mulzer, Irene Parada, Alexander Pilz, Manfred Scheucher, Pavel Valtr, Birgit
Vogtenhuber, and Emo Welzl.
Minimal
Geometric Graph Representations of Order Types.
In Proc. 34th European Workshop on Computational Geometry
EuroCG '18, pages 21:1--21:6, Berlin, Germany, 2018.
[ bib ]
Oswin Aichholzer, Michael Kerber, István Talata, and Birgit Vogtenhuber.
A Note on Planar
Monohedral Tilings.
In Proc. 34th European Workshop on Computational Geometry
EuroCG '18, pages 31:1--31:6, Berlin, Germany, 2018.
[ bib ]
Oswin Aichholzer, Wolfgang Mulzer, Partick Schnider, and Birgit Vogtenhuber.
NP-Completeness of
Max-Cut for Segment Intersection Graphs.
In Proc. 34th European Workshop on Computational Geometry
EuroCG '18, pages 32:1--32:6, Berlin, Germany, 2018.
[ bib ]
O. Aichholzer, M. Balko, T. Hackl, J. Kynčl, I. Parada, M. Scheucher,
P. Valtr, and B. Vogtenhuber.
A superlinear lower
bound on the number of 5-holes.
In Boris Aronov and Matthew J. Katz, editors, 33rd International
Symposium on Computational Geometry (SoCG 2017), volume 77 of Leibniz
International Proceedings in Informatics (LIPIcs), pages 8:1--8:16,
Brisbane, Australia, 2017. Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik.
[ bib |
DOI |
arXiv |
.pdf ]
O. Aichholzer, M. Balko, T. Hackl, J. Kynčl, I. Parada, M. Scheucher,
P. Valtr, and B. Vogtenhuber.
A superlinear
lower bound on the number of 5-holes.
In Proc. 33rd European Workshop on Computational Geometry
EuroCG '17, pages 69--73, Malmö, Sweden, 2017.
[ bib |
arXiv |
.pdf ]
Bernardo M. Ábrego, Oswin Aichholzer, Silvia Fernández-Merchant, Dan
McQuillan, Bojan Mohar, Petra Mutzel, Pedro Ramos, R. Bruce Richter, and
Birgit Vogtenhuber.
Bishellable drawings of
Kn.
In Proc. XVII Encuentros de Geometría Computacional, pages
17--20, Alicante, Spain, 2017.
[ bib |
arXiv |
.pdf ]
Oswin Aichholzer, Florian Ebenführer, Irene Parada, Alexander Pilz, and
Birgit Vogtenhuber.
On semi-simple
drawings of the complete graph.
In Proc. XVII Encuentros de Geometría Computacional, pages
25--28, Alicante, Spain, 2017.
[ bib |
.pdf ]
Oswin Aichholzer, Thomas Hackl, Pavel Valtr, and Birgit Vogtenhuber.
A Note on the Number of
General 4-holes in (Perturbed) Grids.
In Jin Akiyama, Hiro Ito, Toshinori Sakai, and Yushi Uno, editors,
Discrete and Computational Geometry and Graphs. JCDCGG 2015., volume
9943 of Lecture Notes in Computer Science (LNCS), pages 1--12.
Springer, Cham, 2016.
[ bib |
DOI ]
Oswin Aichholzer, Thomas Hackl, Matias Korman, Alexander Pilz, Günter Rote,
André van Renssen, Marcel Roeloffzen, and Birgit Vogtenhuber.
Packing Short Plane
Spanning Trees in Complete Geometric Graphs.
In Seok-Hee Hong, editor, 27th International Symposium on
Algorithms and Computation (ISAAC 2016), volume 64 of Leibniz
International Proceedings in Informatics (LIPIcs), pages 9:1--9:12,
Dagstuhl, Germany, 2016. Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik.
[ bib |
DOI |
http ]
O. Aichholzer, M. Balko, T. Hackl, A. Pilz, P. Ramos, B. Vogtenhuber, and
P. Valtr.
Holes in two convex
point sets.
In Proc. 32st European Workshop on Computational Geometry
EuroCG '16, pages 263--266, Lugano, Switzerland, 2016.
[ bib |
arXiv |
.pdf ]
O. Aichholzer, V. Alvarez, T. Hackl, A. Pilz, B. Speckmann, and B. Vogtenhuber.
An improved lower
bound on the number of triangulations.
In Proc. 32nd Int. Sympos. Comput. Geom. (SoCG)
volume 51 of Leibniz International Proceedings in Informatics (LIPIcs),
pages 7:1--7:16, Boston, USA, 2016.
[ bib |
DOI |
arXiv |
.pdf ]
O. Aichholzer, T. Hackl, P. Valtr, and B. Vogtenhuber.
A note on the number of
general 4-holes in perturbed grids.
In Proc. 18th Japan Conference on Discrete and
Computational Geometry and Graphs (JCDCG2 2015), pages 68--69, Kyoto,
Japan, 2015.
[ bib ]
O. Aichholzer, T. Biedl, T. Hackl, M. Held, S. Huber, P. Palfrader, and
B. Vogtenhuber.
Representing
Directed Trees as Straight Skeletons.
In Emilio Di Giacomo and Anna Lubiw, editors, Proc. 23nd
International Symposium on Graph Drawing (GD 2015), volume 9411 of
Lecture Notes in Computer Science (LNCS), pages 335--347, Los Angeles, CA,
USA, 2015.
[ bib |
DOI |
.pdf ]
B.M. Ábrego, O. Aichholzer, S. Fernández-Merchant, T. Hackl, J. Pammer,
A. Pilz, P. Ramos, G. Salazar, and B. Vogtenhuber.
All Good Drawings
of Small Complete Graphs.
In Proc. 31st European Workshop on Computational Geometry
EuroCG '15, pages 57--60, Ljubljana, Slovenia, 2015.
[ bib |
.pdf ]
Oswin Aichholzer, Ruy Fabila-Monroy, Hernan Gonzalez-Aguilar, Thomas Hackl,
Marco A. Heredia, Clemens Huemer, Jorge Urrutia, Pavel Valtr, and Birgit
Vogtenhuber.
On k-Gons and
k-Holes in Point Sets.
Computational Geometry: Theory and Applications,
48(7):528--537, 2015.
[ bib |
DOI |
.pdf ]
O. Aichholzer, F. Aurenhammer, T. Hackl, C. Huemer, A. Pilz, and
B. Vogtenhuber.
3-Colorability
of Pseudo-Triangulations.
Int'l Journal of Computational Geometry & Applications,
25(4):283--298, 2015.
[ bib |
DOI |
.pdf ]
O. Aichholzer, W. Aigner, F. Aurenhammer, B. Jüttler
K.Č Dobiášová, and G. Rote.
Triangulations with
circular arcs.
Journal of Graph Algorithms and Applications, 19(1):43--65,
2015.
[ bib |
DOI |
.pdf ]
Oswin Aichholzer, Sang Won Bae, Luis Barba, Prosenjit Bose, Matias Korman,
André van Renssen, Perouz Taslakian, and Sander Verdonschot.
Reprint of: Theta-3
is connected.
Computational Geometry Theory and Application, 48:369--442,
2015.
[ bib |
DOI ]
Oswin Aichholzer, Michael Biro, Erik Demaine, Martin Demaine, David Eppstein,
Sándor P. Fekete, Adam Hesterberg, Irina Kostitsyna, and Christiane
Schmidt.
Folding Polyominoes
into (Poly)Cubes.
In Proc. 27th Annual Canadian Conference on Computational
Geometry CCCG 2015, pages 101--106, Kingston, Ontario, Canada, 2015.
[ bib |
.html ]
O. Aichholzer, F. Aurenhammer, T. Hackl, F. Hurtado, A. Pilz, P. Ramos,
J. Urrutia, P. Valtr, and B. Vogtenhuber.
On k-Convex Point
Sets.
Computational Geometry: Theory and Applications,
47(8):809--832, 2014.
[ bib |
DOI |
http |
.pdf ]
O. Aichholzer, T. Hackl, S. Lutteropp, T. Mchedlidze, A. Pilz, and
B. Vogtenhuber.
Monotone Simultaneous
Embedding of Directed Paths.
In Proc. 30th European Workshop on Computational Geometry
EuroCG '14, page online, Dead Sea, Israel, 2014.
[ bib |
.pdf ]
O. Aichholzer, R. Fabila-Monroy, T. Hackl, C. Huemer, and J. Urrutia.
Empty Monochromatic
Simplices.
Discrete & Computational Geometry, 51(2):362--393, 2014.
[ bib |
DOI |
.pdf ]
O. Aichholzer, R. Fabila-Monroy, H. González-Aguilar, T. Hackl, M.A.
Heredia, C. Huemer, J. Urrutia, and B. Vogtenhuber.
4-Holes in
Point Sets.
Computational Geometry: Theory and Applications,
47(6):644--650, 2014.
Special Issue on the 27th European Workshop on Computational Geometry
(EuroCG 2011).
[ bib |
DOI |
.pdf ]
O. Aichholzer, T. Hackl, M. Hoffmann, A. Pilz, G. Rote, B. Speckmann, and
B. Vogtenhuber.
Plane graphs with
parity constraints.
Graphs and Combinatorics, 30(1):47--69, 2014.
[ bib |
DOI |
.pdf ]
Oswin Aichholzer, Greg Aloupis, Erik D. Demaine, Martin L. Demaine,
Sándor P. Fekete, Michal Hoffmann, Anna Lubiw, Jack Snoeyink, and Andrew
Winslow.
Covering Folded
Shapes.
Journal of Computational Geometry, 5:150--168, 2014.
[ bib |
http ]
Oswin Aichholzer, Sang Won Bae, Luis Barba, Prosenjit Bose, Matias Korman,
André van Renssen, Perouz Taslakian, and Sander Verdonschot.
Theta-3 is
connected.
Computational Geometry Theory and Application, 47:910--917,
2014.
[ bib |
DOI ]
Bernardo M. Ábrego, Oswin Aichholzer, Silvia Fernández-Merchant, Pedro
Ramos, and Birgit Vogtenhuber.
Non-Shellable Drawings
of Kn with Few Crossings.
In Proc. 26th Annual Canadian Conference on Computational
Geometry CCCG 2014, page online, Halifax, Nova Scotia, Canada, 2014.
[ bib ]
Oswin Aichholzer, Michael Hoffmann, Marc Van Kreveld, and Günter Rote.
Graph Drawings with
Relative Edge Length Specifications.
In Proc. 26th Annual Canadian Conference on Computational
Geometry CCCG 2014, page online, Halifax, Nova Scotia, Canada, 2014.
[ bib ]
Oswin Aichholzer, Thomas Hackl, Matias Korman, Marc van Kreveld, Maarten
Löffler, Alexander Pilz, Bettina Speckmann, and Emo Welzl.
Packing Plane
Spanning Trees and Paths in Complete Geometric Graphs.
In Proc. 26th Annual Canadian Conference on Computational
Geometry (CCCG 2014), page online, Halifax, Nova Scotia, Canada, 2014.
[ bib |
.pdf ]
Oswin Aichholzer, Ruy Fabila-Monroy, Ferran Hurtado, Pablo Perez-Lantero,
Andres J. Ruiz-Vargas, Jorge Urrutia, and Birgit Vogtenhuber.
Order types and
cross-sections of line arrangements in R3.
In Proc. 26th Annual Canadian Conference on Computational
Geometry CCCG 2014, page online, Halifax, Nova Scotia, Canada, 2014.
[ bib ]
Oswin Aichholzer, Thomas Hackl, Sarah Lutteropp, Tamara Mchedlidze, and Birgit
Vogtenhuber.
Embedding
Four-directional Paths on Convex Point Sets.
In C. Duncan and A. Symvonis, editors, Proc. 22nd
International Symposium on Graph Drawing (GD 2014), volume 8871 of
Lecture Notes in Computer Science (LNCS), pages 355--366, Würzburg,
Germany, 2014.
[ bib |
.pdf ]
Oswin Aichholzer, Jean Cardinal, Vincent Kusters, Stefan Langerman, and Pavel
Valtr.
Reconstructing Point
Set Order Types from Radial Orderings.
In Algorithms and Computation - 25th International Symposium,
ISAAC 2014, Jeonju, Korea, December 15-17, 2014, Proceedings, pages
15--26, 2014.
[ bib |
DOI |
.pdf ]
O. Aichholzer, T. Hackl, M. Korman, A. Pilz, and B. Vogtenhuber.
Geodesic-preserving
polygon simplification.
In Lecture Notes in Computer Science (LNCS), Proc. 24th
Int. Symp. Algorithms and Computation (ISAAC 2013), volume 8283, pages
11--21, Hong Kong, China, 2013. Springer Verlag.
[ bib |
.pdf ]
O. Aichholzer, J. Cardinal, T. Hackl, F. Hurtado, M. Korman, A. Pilz, R.I.
Silveira, R. Uehara, B. Vogtenhuber, and E. Welzl.
Cell-Paths in
Mono- and Bichromatic Line Arrangements in the Plane.
In Proc. 25th Annual Canadian Conference on Computational
Geometry CCCG 2013, pages 169--174, Waterloo, Ontario, Canada, 2013.
[ bib |
.pdf ]
O. Aichholzer, T. Hackl, A. Pilz, P. Ramos, V. Sacristán, and
B. Vogtenhuber.
Empty triangles in
good drawings of the complete graph.
In Mexican Conference on Discrete Mathematics and Computational
Geometry, pages 21--29, Oaxaca, México, 2013.
[ bib |
arXiv |
.pdf ]
O. Aichholzer, T. Hackl, V. Sacristán, B. Vogtenhuber, and R. Wallner.
Simulating distributed
algorithms for lattice agents.
In Proc. 15th Spanish Meeting on Computational Geometry
2013, pages 81--84, Sevilla, Spain, 2013.
[ bib |
.pdf ]
O. Aichholzer, R. Fabila-Monroy, T. Hackl, M. van Kreveld, A. Pilz, P. Ramos,
and B. Vogtenhuber.
Blocking Delaunay
Triangulations.
Computational Geometry: Theory and Applications,
46(2):154--159, 2013.
[ bib |
DOI |
.pdf ]
O. Aichholzer, J. Urrutia, and B. Vogtenhuber.
Balanced 6-holes in
bichromatic point sets.
In Proc. of the 16th Japan Conference on Discrete and
Computational Geometry and Graphs (JCDCG2 2013), Tokyo, Japan, 2013.
[ bib |
.pdf ]
B.M. Ábrego, O. Aichholzer, S. Fernández-Merchant, P. Ramos, and
G. Salazar.
More on the crossing
number of Kn: Monotone drawings.
Electronic Notes in Discrete Mathematics, 44:411--414, 2013.
Special issue dedicated to LAGOS2013.
[ bib |
DOI |
http ]
O. Aichholzer, S.R. Allen, G. Aloupis, L. Barba, P. Bose, J.-L. De Carufel,
J. Iacono, S. Langerman, D.L. Souvaine, P. Taslakin, and M. Yagnatinsky.
Sum of Squared
Edges for MST of a Point Set in a Unit Square.
In Proc. of the 16th Japan Conference on Discrete and
Computational Geometry and Graphs (JCDCG2 2013), Tokyo, Japan, 2013.
[ bib ]
O. Aichholzer, G. Aloupis, E.D. Demaine, M.L. Demaine, S.P. Fekete,
M. Hoffmann, A. Lubiwk, J. Snoeyink, and a. Winslow.
Covering Folded
Shapes.
In Proc. 25th Annual Canadian Conference on Computational
Geometry CCCG 2013, pages 73--78, Waterloo, Ontario, Canada, 2013.
[ bib ]
Oswin Aichholzer, Sang Won Bae, Luis Barba, Prosenjit Bose, Matias Korman,
André van Renssen, Perouz Taslakian, and Sander Verdonschot.
Theta 3 is
connected.
In Proc. 25th Annual Canadian Conference on Computational
Geometry CCCG 2013, pages 205--211, Waterloo, Ontario, Canada, 2013.
invited to special issue of CCCG 2013.
[ bib ]
O. Aichholzer, L.E. Caraballo, J.M. Díaz-Báñez, R. Fabila-Monroy,
C. Ochoa, and P. Nigsch.
Extremal antipodal
polygons and polytopes.
In Mexican Conference on Discrete Mathematics and Computational
Geometry, pages 11--20, Oaxaca, México, 2013.
[ bib |
.pdf ]
Bernardo M. Ábrego, Oswin Aichholzer, Silvia Fernández-Merchant, Pedro
Ramos, and Gelasio Salazar.
The 2-page crossing
number of Kn.
Discrete & Computational Geometry, 49(4):747--777, 2013.
[ bib |
.pdf ]
Oswin Aichholzer, Matias Korman, Alexander Pilz, and Birgit Vogtenhuber.
Geodesic Order Types.
In Joachim Gudmundsson, Julián Mestre, and Taso Viglas, editors,
Proc. 18th International Computing and Combinatorics Conference
(COCOON 2012), volume 7434 of Lecture Notes in Computer Science,
pages 216--227, Sydney, Australia, August 2012. Springer.
[ bib |
DOI |
arXiv ]
O. Aichholzer, R. Fabila-Monroy, T. Hackl, C. Huemer, A. Pilz, and
B. Vogtenhuber.
Lower bounds for the
number of small convex k-holes.
In Proc. 24th Annual Canadian Conference on Computational
Geometry CCCG 2012, pages 247--252, Charlottetown, PEI, Canada, 2012.
[ bib |
.pdf ]
O. Aichholzer, H. Cheng, S.L. Devadoss, T. Hackl, S. Huber, B. Li, and
A. Risteski.
What makes a Tree a
Straight Skeleton?
In Proc. 24th Annual Canadian Conference on Computational
Geometry CCCG 2012, pages 253--258, Charlottetown, PEI, Canada, 2012.
[ bib |
.pdf ]
O. Aichholzer, H. Cheng, S.L. Devadoss, T. Hackl, S. Huber, B. Li, and
A. Risteski.
What makes a Tree a
Straight Skeleton?
In Proc. 28th European Workshop on Computational Geometry
EuroCG '12, pages 137--140, Assisi, Italy, 2012.
[ bib |
.pdf ]
O. Aichholzer, T. Hackl, and B. Vogtenhuber.
On 5-Gons and
5-Holes.
In A. Marquez, P. Ramos, and J. Urrutia, editors, Computational
Geometry: XIV Spanish Meeting on Computational Geometry, EGC 2011,
Festschrift Dedicated to Ferran Hurtado on the Occasion of His 60th Birthday,
Alcalá de Henares, Spain, June 27-30, 2011, Revised Selected Papers,
volume 7579 of Lecture Notes in Computer Science (LNCS), pages 1--13.
Springer, 2012.
[ bib |
.pdf ]
O. Aichholzer, G. Rote, A. Schulz, and B. Vogtenhuber.
Pointed Drawings of
Planar Graphs.
Computational Geometry: Theory and Applications, pages
482--494, 2012.
special issue of CCCG 2007.
[ bib |
DOI |
.pdf ]
O. Aichholzer, F. Aurenhammer, E.D. Demaine, F. Hurtado, P. Ramos, and
J. Urrutia.
On k-convex
polygons.
Computational Geometry: Theory and Applications, 45(3):73--87,
2012.
[ bib |
.pdf ]
O. Aichholzer, S.R. Allen, G. Aloupis, L. Barba, P. Bose, S. Langerman, and
J. Iacono.
Sum of Squared Edges
for MST of a Point Set in a Unit Square.
In Proc. 22nd Annual Fall Workshop on Computational
Geometry, University of Maryland, Maryland, USA, 2012.
[ bib ]
Bernardo M. Ábrego, Oswin Aichholzer, Silvia Fernández-Merchant, Pedro
Ramos, and Gelasio Salazar.
The 2-page crossing
number of Kn.
In 28th Ann. ACM Symp. Computational Geometry, pages
397--403, Chapel Hill, NC, USA, 2012.
[ bib |
.pdf ]
O. Aichholzer, M. Cetina, R. Fabila-Monroy, J. Leaños, G. Salazar, and
J. Urrutia.
Convexifying monotone
polygons while maintaining internal visibility.
In A. Marquez, P. Ramos, and J. Urrutia, editors, Special issue:
XIV Encuentros de Geometría Computacional ECG2011, volume 7579 of
Lecture Notes in Computer Science (LNCS), pages 98--108. Springer, 2012.
[ bib |
.pdf ]
Oswin Aichholzer, Ruy Fabila-Monroy, Hernan Gonzalez-Aguilar, Thomas Hackl,
Marco A. Heredia, Clemens Huemer, Jorge Urrutia, Pavel Valtr, and Birgit
Vogtenhuber.
On k-Gons and
k-Holes in Point Sets.
In Proc. 23rd Annual Canadian Conference on Computational
Geometry CCCG 2011, pages 21--26, Toronto, Canada, 2011.
[ bib |
.pdf ]
O. Aichholzer, T. Hackl, and B. Vogtenhuber.
On 5-gons and 5-holes.
In Proc. XIV Encuentros de Geometría Computacional, pages
7--10, Alcalá, Spain, 2011.
[ bib |
.pdf ]
O. Aichholzer, R. Fabila-Monroy, H. González-Aguilar, T. Hackl, M.A.
Heredia, C. Huemer, J. Urrutia, and B. Vogtenhuber.
4-Holes in
Point Sets.
In Proc. 27th European Workshop on Computational Geometry
EuroCG '11, pages 115--118, Morschach, Switzerland, 2011.
[ bib |
.pdf ]
O. Aichholzer, W. Aigner, T. Hackl, and N. Wolpert.
Exact medial axis
computation for circular arc boundaries.
In J.D. Boissonat, M.L. Mazure, and L.L. Schumaker, editors,
Proc. 7th International Conference on Curves and Surfaces 2010 (Avignon,
France), LNCS 6920, number 6920 in Lecture Notes in Computer Science (LNCS),
pages 28--42, Avignon, France, 2011. Springer.
[ bib |
.pdf ]
O. Aichholzer, W. Aigner, F. Aurenhammer, and B. Jüttler.
Exact medial axis
computation for triangulated solids with respect to piecewise linear
metrics.
In J.D. Boissonat, M.L. Mazure, and L.L. Schumaker, editors,
Proc. 7th International Conference on Curves and Surfaces 2010 (Avignon,
France), number 6920 in Lecture Notes in Computer Science, pages 1--27,
Avignon, France, 2011. Springer.
[ bib |
.pdf ]
O. Aichholzer, W. Aigner, F. Aurenhammer, B. Jüttler
K.Č Dobiášová, and G. Rote.
Triangulations with
circular arcs.
In 19th Symposium on Graph Drawing 2011 (Eindhoven, The
Netherlands), pages 296--307, 2011.
[ bib |
.pdf ]
Oswin Aichholzer, Greg Aloupis, Erik D. Demaine, Martin L. Demaine, Vida
Dujmović, Ferran Hurtado, Anna Lubiw, Günter Rote, André Schulz,
Diane L. Souvaine, and Andrew Winslow.
Convexifying
Polygons Without Losing Visibilities.
In Proc. 23rd Annual Canadian Conference on Computational
Geometry CCCG 2011, pages 229--234, Toronto, Canada, 2011.
[ bib |
.pdf ]
O. Aichholzer, A. García, F. Hurtado, and J. Tejel.
Compatible matchings in
geometric graphs.
In Proc. XIV Encuentros de Geometría Computacional, pages
145--148, Alcalá, Spain, 2011.
[ bib |
.pdf ]
Oswin Aichholzer, Daniel Detassis, Thomas Hackl, Gerald Steinbauer, and
Johannes Thonhauser.
"Playing Pylos with an
Autonomous Robot".
In IEEE/RSJ International Conference on Intelligent Robots and
Systems (IROS), pages 2507--2508, Taipei, Taiwan, 2010.
[ bib |
.pdf ]
O. Aichholzer, T. Hackl, and B. Vogtenhuber.
Compatible Pointed
Pseudo-Triangulations.
In Proc. 22nd Annual Canadian Conference on Computational
Geometry CCCG 2010, pages 91--94, Winnipeg, Manitoba, Canada, 2010.
[ bib |
.pdf ]
O. Aichholzer, R. Fabila-Monroy, T. Hackl, M. van Kreveld, A. Pilz, P. Ramos,
and B. Vogtenhuber.
Blocking Delaunay
Triangulations.
In Proc. 22nd Annual Canadian Conference on Computational
Geometry CCCG 2010, pages 21--24, Winnipeg, Manitoba, Canada, 2010.
[ bib |
.pdf ]
O. Aichholzer, F. Aurenhammer, T. Hackl, C. Huemer, A. Pilz, and
B. Vogtenhuber.
3-Colorability
of Pseudo-Triangulations.
In Proc. 26th European Workshop on Computational Geometry
EuroCG '10, pages 21--24, Dortmund, Germany, 2010.
[ bib |
.pdf ]
O. Aichholzer, W. Aigner, F. Aurenhammer, T. Hackl, B. Jüttler,
E. Pilgerstorfer, and M. Rabl.
Divide-and conquer
for Voronoi diagrams revisited.
Computational Geometry: Theory and Applications,
43(8):688--699, 2010.
Special Issue on the 25th Annual Symposium on Computational Geometry
(SoCG'09).
[ bib |
DOI |
.pdf ]
O. Aichholzer, W. Aigner, F. Aurenhammer, K.Č Dobiášová, and
B. Jüttler.
Arc Triangulations.
In Proc. 26th European Workshop on Computational Geometry
EuroCG '10, pages 17--20, Dortmund, Germany, 2010.
[ bib |
.pdf ]
O. Aichholzer, T. Hackl, M. Hoffmann, A. Pilz, G. Rote, B. Speckmann, and
B. Vogtenhuber.
Plane Graphs with
Parity Constraints.
In Lecture Notes in Computer Science (LNCS), Proc. 11th
International Workshop on Algorithms and Data Structures (WADS), volume
5664, pages 13--24, Banff, Alberta, Canada, 2009.
[ bib |
.pdf ]
O. Aichholzer, T. Hackl, D. Orden, P. Ramos, G. Rote, A. Schulz, and
B. Speckmann.
Flip Graphs of
Bounded-Degree Triangulations.
In Electronic Notes in Discrete Mathematics: Proc. European
Conference on Combinatorics, Graph Theory and Applications EuroComb 2009,
volume 34, pages 509--513, Bordeaux, France, 2009.
[ bib |
arXiv |
.pdf ]
O. Aichholzer, R. Fabila-Monroy, D. Flores-Peñaloza, T. Hackl, C. Huemer,
J. Urrutia, and B. Vogtenhuber.
Modem Illumination of
Monotone Polygons.
In Proc. 25th European Workshop on Computational Geometry
EuroCG '09, pages 167--170, Brussels, Belgium, 2009.
[ bib |
.pdf ]
O. Aichholzer, W. Aigner, F. Aurenhammer, T. Hackl, B. Jüttler,
E. Pilgerstorfer, and M. Rabl.
Divide-and-Conquer
for Voronoi Diagrams Revisited.
In 25th Ann. ACM Symp. Computational Geometry, pages
189--197, Aarhus, Denmark, 2009.
[ bib |
.pdf ]
O. Aichholzer, W. Aigner, F. Aurenhammer, T. Hackl, B. Jüttler,
E. Pilgerstorfer, and M. Rabl.
Divide-and-Conquer
for Voronoi Diagrams Revisited.
In Proc. 25th European Workshop on Computational Geometry
EuroCG '09, pages 293--296, Brussels, Belgium, 2009.
[ bib |
.pdf ]
O. Aichholzer, R. Fabila-Monroy, D. Flores-Peñaloza, T. Hackl, C. Huemer,
and J. Urrutia.
Empty Monochromatic
Triangles.
Computational Geometry: Theory and Applications,
42(9):934--938, 2009.
[ bib |
DOI |
.pdf ]
O. Aichholzer, W. Aigner, F. Aurenhammer, T. Hackl, B. Jüttler, and
M. Rabl.
Medial Axis
Computation for Planar Free-Form Shapes.
Computer-Aided Design, 41(5):339--349, 2009.
Special issue: Voronoi Diagrams and their Applications.
[ bib |
DOI |
.pdf ]
O. Aichholzer, F. Aurenhammer, T. Hackl, and B. Speckmann.
On Minimum Weight
Pseudo-Triangulations.
Computational Geometry: Theory and Applications,
42(6-7):627--631, 2009.
[ bib |
.pdf ]
O. Aichholzer, S. Bereg, A. Dumitrescu, A. García, C. Huemer, F. Hurtado,
M. Kano, A. Márquez, D. Rappaport, S. Smorodinsky, D. Souvaine,
J. Urrutia, and D. Wood.
Compatible Geometric
Matchings.
Computational Geometry: Theory and Applications,
42(6-7):617--626, 2009.
[ bib |
.pdf ]
O. Aichholzer, F. Aurenhammer, F. Hurtado, P. Ramos, and J. Urrutia.
Two-Convex Polygons.
In Proc. 25th European Workshop on Computational Geometry
EuroCG '09, pages 117--120, Brussels, Belgium, 2009.
[ bib |
.pdf ]
O. Aichholzer, J. García, D. Orden, and P.A. Ramos.
New results on lower bounds for the number of (<=k)-facets.
European Journal of Combinatorics, 30:1568--1574, 2009.
[ bib |
.pdf ]
O. Aichholzer, F. Aurenhammer, B. Kornberger, S. Plantinga, G. Rote, A. Sturm,
and G. Vegter.
Recovering
Structure from r-Sampled Objects.
In Eurographics Symposium on Geometry Processing, special issue
of Computer Graphics Forum 28(5), pages 1349--1360, Berlin, Germany, 2009.
[ bib |
.pdf ]
O. Aichholzer, R. Fabila-Monroy, D. Flores-Peñaloza, T. Hackl, C. Huemer,
and J. Urrutia.
Empty Monochromatic
Triangles.
In Proc. 20th Annual Canadian Conference on Computational
Geometry CCCG 2008, pages 75--78, Montreal, Quebec, Canada, 2008.
[ bib |
.pdf ]
O. Aichholzer, S. Cabello, R. Fabila-Monroy, D. Flores-Peñaloza, T. Hackl,
C. Huemer, F. Hurtado, and D.R. Wood.
Edge-Removal and
Non-Crossing Configurations in Geometric Graphs.
In Proc. 24th European Workshop on Computational Geometry
EuroCG '08, pages 119--122, Nancy, France, 2008.
[ bib |
.pdf ]
O. Aichholzer, F. Aurenhammer, T. Hackl, B. Kornberger, S. Plantinga, G. Rote,
A. Sturm, and G. Vegter.
Seed Polytopes for
Incremental Approximation.
In Proc. 24th European Workshop on Computational Geometry
EuroCG '08, pages 13--16, Nancy, France, 2008.
[ bib |
.ps.gz ]
O. Aichholzer, F. Aurenhammer, P. Gonzalez-Nava, T. Hackl, C. Huemer,
F. Hurtado, H. Krasser, S. Ray, and B. Vogtenhuber.
Matching Edges and
Faces in Polygonal Partitions.
Computational Geometry: Theory and Applications,
39(2):134--141, 2008.
[ bib |
.ps.gz ]
O. Aichholzer, S. Bereg, A. Dumitrescu, A. García, C. Huemer, F. Hurtado,
M. Kano, A. Márquez, D. Rappaport, S. Smorodinsky, D. Souvaine,
J. Urrutia, and D. Wood.
Compatible Geometric
Matchings.
Electronic Notes in Discrete Mathematics, 31:201--206, 2008.
[ bib |
DOI |
.pdf ]
O. Aichholzer, S. Bereg, A. Dumitrescu, A. García, C. Huemer, F. Hurtado,
M. Kano, A. Márquez, D. Rappaport, S. Smorodinsky, D. Souvaine,
J. Urrutia, and D. Wood.
Compatible Geometric
Matchings.
In Proc. 1st Topological & Geometric Graph Theory 2008,
pages 194--199, Paris, France, 2008.
[ bib |
.pdf ]
O. Aichholzer, T. Hackl, M. Hoffmann, C. Huemer, A. Por, F. Santos,
B. Speckmann, and B. Vogtenhuber.
Maximizing Maximal
Angles for Plane Straight Line Graphs.
In Lecture Notes in Computer Science (LNCS), Proc. 10th
International Workshop on Algorithms and Data Structures (WADS), volume
4619, pages 458--469, Halifax, Nova Scotia, Canada, 2007.
[ bib |
DOI |
arXiv |
.pdf ]
O. Aichholzer, T. Hackl, M. Hoffmann, C. Huemer, F. Santos, B. Speckmann, and
B. Vogtenhuber.
Maximizing Maximal
Angles for Plane Straight Line Graphs.
In Proc. 23rd European Workshop on Computational Geometry
EuroCG '07, pages 98--101, Graz, Austria, 2007.
[ bib |
arXiv |
.pdf ]
O. Aichholzer, F. Aurenhammer, T. Hackl, B. Jüttler, M. Oberneder, and
Z. Sír.
Computational and
Structural Advantages of Circular Boundary Representation.
In Lecture Notes in Computer Science (LNCS), Proc. 10th
International Workshop on Algorithms and Data Structures (WADS), volume
4619, pages 374--385, Halifax, Nova Scotia, Canada, 2007.
[ bib |
.ps.gz ]
O. Aichholzer, F. Aurenhammer, T. Hackl, B. Kornberger, M. Peternell, and
H. Pottmann.
Approximating
Boundary-Triangulated Objects with Balls.
In Proc. 23rd European Workshop on Computational Geometry
EuroCG '07, pages 130--133, Graz, Austria, 2007.
[ bib |
.pdf ]
O. Aichholzer, F. Aurenhammer, T. Hackl, and B. Speckmann.
On (Pointed) Minimum
Weight Pseudo-Triangulations.
In Proc. 19th Annual Canadian Conference on Computational
Geometry CCCG 2007, pages 209--212, Ottawa, Ontario, Canada, 2007.
[ bib |
.pdf ]
O. Aichholzer, F. Aurenhammer, T. Hackl, and C. Huemer.
Connecting Colored Point
Sets.
Discrete Applied Mathematics, 155(3):271--278, 2007.
[ bib |
.ps.gz ]
O. Aichholzer, J. García, D. Orden, and P.A. Ramos.
New lower bounds for the number of (<=k)-edges and the
rectilinear crossing number of kn.
Discrete & Computational Geometry, 38:1--14, 2007.
[ bib |
.ps.gz ]
O. Aichholzer, G. Rote, A. Schulz, and B. Vogtenhuber.
Pointed Drawings of
Planar Graphs.
In Proc. 19th Annual Canadian Conference on Computational
Geometry CCCG 2007, pages 237--240, Ottawa, Ontario, Canada, 2007.
[ bib |
.pdf ]
O. Aichholzer, J. García, D. Orden, and P.A. Ramos.
New results on lower bounds for the number of (<=k)-facets.
In Proceedings EuroComb'07, Electronic Notes in Discrete
Mathematics, volume 29C, pages 189--193, 2007.
[ bib |
.pdf ]
O. Aichholzer, T. Hackl, C. Huemer, F. Hurtado, H. Krasser, and B. Vogtenhuber.
On the number of plane
graphs.
In Proc. 17th Annual ACM-SIAM Symposium on Discrete
Algorithms (SODA), pages 504--513, Miami, Florida, USA, 2006.
[ bib |
.pdf ]
O. Aichholzer, C. Huemer, S. Renkl, B. Speckmann, and C. D. Tóth.
Decompositions,
Partitions, and Coverings with Convex Polygons and Pseudo-Triangles.
In Pawel Urzyczyn Rastislav Královic, editor, Proceedings
31st International Symposium on Mathematical Foundations of Computer
Science, Lecture Notes in Computer Science, volume 4162, pages 86--97,
Stará Lesná, Slovakia, 2006.
[ bib |
.pdf ]
O. Aichholzer, J. García, D. Orden, and P.A. Ramos.
New lower bounds for the number of (<=k)-edges and the
rectilinear crossing number of kn.
In Actas de las IV Jornadas de Matematica Discreta y
Algoritmica, pages 57--64, 2006.
[ bib |
.ps.gz ]
O. Aichholzer, T. Hackl, C. Huemer, F. Hurtado, H. Krasser, and B. Vogtenhuber.
Bounding the number of
plane graphs.
In Proc. 15th Annual Fall Workshop on Computational
Geometry and Visualization, pages 31--32, Philadelphia, Pennsylvania, USA,
2005.
[ bib ]
O. Aichholzer, F. Aurenhammer, P. Gonzalez-Nava, T. Hackl, C. Huemer,
F. Hurtado, H. Krasser, S. Ray, and B. Vogtenhuber.
Matching Edges and
Faces in Polygonal Partitions.
In Proc. 17th Annual Canadian Conference on Computational
Geometry CCCG 2005, pages 123--126, Windsor, Ontario, Canada, 2005.
[ bib |
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O. Aichholzer, D. Bremner, E.D. Demaine, F. Hurtado, E. Kranakis, H. Krasser,
S. Ramaswami, S. Sethia, and J. Urrutia.
Games on
Triangulations.
Theoretical Computer Science, 343(1-2):42--71, 2005.
[ bib |
.pdf ]
O. Aichholzer, M. Hoffmann, B. Speckmann, and C. D. Tóth.
Degree Bounds for
Constrained Pseudo-Triangulations.
In Proc. 15th Annual Canadian Conference on Computational
Geometry CCCG 2003, pages 155--158, Halifax, Nova Scotia, Canada, 2003.
[ bib |
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O. Aichholzer, G. Rote, B. Speckmann, and I. Streinu.
The Zigzag Path of a
Pseudo-Triangulation.
In Lecture Notes in Computer Science, Proc. 8th International
Workshop on Algorithms and Data Structures (WADS), volume 2748, pages
377--389, 2003.
[ bib |
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O. Aichholzer, F. Aurenhammer, F. Hurtado, and H. Krasser.
Towards Compatible
Triangulations.
Theoretical Computer Science, 296:3--13, 2003.
Special Issue.
[ bib |
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O. Aichholzer, F. Aurenhammer, P. Brass, and H. Krasser.
Spatial Embedding of
Pseudo-Triangulations.
In Proc. 19th Ann. ACM Symp. Computational Geometry,
volume 19, pages 144--153, San Diego, California, USA, 2003.
[ bib |
.ps.gz ]
O. Aichholzer, D. Bremner, E.D. Demaine, F. Hurtado, E. Kranakis, H. Krasser,
S. Ramaswami, S. Sethia, and J. Urrutia.
Geometric Games on
Triangulations.
In Proc. 19th European Workshop on Computational Geometry
CG '03 Bonn, pages 89--92, Bonn, Germany, 2003.
[ bib |
.ps.gz ]
O. Aichholzer, D. Bremner, E.D. Demaine, F. Hurtado, E. Kranakis, H. Krasser,
S. Ramaswami, S. Sethia, and J. Urrutia.
Playing with
Triangulations.
In Lecture Notes in Computer Science 2866, Japanese Conference,
JCDCG 2002, pages 22--37, 2003.
[ bib |
.ps.gz ]
O. Aichholzer, F. Aurenhammer, and T. Werner.
Algorithmic Fun -
Abalone.
Special Issue on Foundations of Information Processing of
TELEMATIK, 1:4--6, 2002.
[ bib |
.ps.gz ]
O. Aichholzer, D. Bremner, E.D. Demaine, F. Hurtado, E. Kranakis, H. Krasser,
S. Ramaswami, S. Sethia, and J. Urrutia.
Playing with
Triangulations.
In Proc. Japan Conference on Discrete and Computational Geometry
JCDCG 2002, pages 46--54, Tokyo, Japan, 2002.
[ bib |
.ps.gz ]
O. Aichholzer, B. Speckmann, and I. Streinu.
The Path of a
Pseudo-Triangulation.
In Abstracts of the DIMACS Workshop on Computational Geometry
2002, page 2, Piscataway (NJ), USA, 2002.
[ bib |
.pdf ]
O. Aichholzer, F. Aurenhammer, H. Krasser, and B. Speckmann.
Convexity Minimizes
Pseudo-Triangulations.
In Proc. 14th Annual Canadian Conference on Computational
Geometry CCCG 2002, pages 158--161, Lethbridge, Alberta, Canada, 2002.
[ bib |
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O. Aichholzer, C. Cortés, E.D. Demaine, V. Dujmović, J. Erickson,
H. Meijer, M. Overmars, B. Palop, S. Ramaswami, and G.T. Toussaint.
Flipturning
Polygons.
Discrete & Computational Geometry, 28(2):231--253, 2002.
[Report UU-CS-2000-31, Universiteit Utrecht, The Netherlands, 2000].
[ bib |
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O. Aichholzer, L.S. Alboul, and F. Hurtado.
On Flips in Polyhedral
Surfaces.
International Journal of Foundations of Computer Science
(IJFCS), special issue on Volume and Surface Triangulations, 13(2):303--311,
2002.
[ bib |
.ps.gz ]
O. Aichholzer, F. Aurenhammer, and H. Krasser.
Points and Combinatorics.
Special Issue on Foundations of Information Processing of
TELEMATIK, 1:12--17, 2002.
[ bib |
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O. Aichholzer, F. Aurenhammer, and F. Hurtado.
Sequences of spanning
trees and a fixed tree theorem.
Computational Geometry: Theory and Applications,
21(1--2):3--20, 2002.
Special Issue. [Report MA2-IR-00-00026, Universitat Politećnica de
Catalunya, Barcelona, Spain, 2000].
[ bib |
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O. Aichholzer, F. Aurenhammer, C. Icking, R. Klein, E. Langetepe, and G. Rote.
Generalized
self-approaching curves.
Discrete Applied Mathematics, 109(1-2):3--24, 2001.
Special Issue. [SFB-Report F003-134, TU Graz, Austria, 1998].
[ bib |
.ps.gz |
.pdf ]
O. Aichholzer, L.S. Alboul, and F. Hurtado.
On Flips in Polyhedral
Surfaces.
In Proc. 17th European Workshop on Computational Geometry
CG '2001, pages 27--30, Berlin, Germany, 2001.
[ bib |
.ps.gz ]
O. Aichholzer, F. Aurenhammer, and H. Krasser.
On Compatible
Triangulations of Point Sets.
In Proc. 17th European Workshop on Computational Geometry
CG '2001, pages 23--26, Berlin, Germany, 2001.
[ bib |
.ps.gz ]
O. Aichholzer, E.D. Demaine, J. Erickson, F. Hurtado, M. Overmars, M.A. Soss,
and G.T. Toussaint.
Reconfiguring Convex
Polygons.
Computational Geometry: Theory and Applications, 20:85--95,
2001.
[Report UU-CS-2000-30, Universiteit Utrecht, The Netherlands, 2000].
[ bib |
.ps.gz |
.pdf ]
O. Aichholzer, F. Aurenhammer, B. Brandtstätter, H. Krasser, C. Magele,
M. Mühlmann, and W. Renhart.
Evolution Strategy
and Hierarchical Clustering.
In 13th COMPUMAG Conference on the Computation of
Electromagnetic Fields, Lyon-Evian, France, 2001.
[ bib |
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O. Aichholzer, F. Aurenhammer, F. Hurtado, and H. Krasser.
Towards Compatible
Triangulations.
In Jie Wang, editor, Proc. 7th Ann. Int'l. Computing and
Combinatorics Conf. COCOON'01, Lecture Notes in Computer Science, volume
2108, pages 101--110, Guilin, China, 2001. Springer Verlag.
[ bib |
.ps.gz ]
O. Aichholzer, F. Aurenhammer, B. Brandtstätter, T. Ebner, H. Krasser, and
C. Magele.
Niching evolution
strategy with cluster algorithms.
In 9th Biennial IEEE Conf. Electromagnetic Field
Computations, Milwaukee, Wisconsin, USA, 2000.
[ bib |
.ps.gz ]
O. Aichholzer, C. Cortés, E.D. Demaine, V. Dujmović, J. Erickson,
H. Meijer, M. Overmars, B. Palop, S. Ramaswami, and G.T. Toussaint.
Flipturning
Polygons.
In Proc. Japan Conference on Discrete and Computational Geometry
JCDCG 2000, Tokay University, Tokyo, Japan, 2000.
[ bib |
.ps.gz ]
O. Aichholzer.
Extremal Properties of
0/1-Polytopes of Dimension 5.
In G. Ziegler and G. Kalai, editors, Polytopes - Combinatorics
and Computation, pages 111--130. Birkhäuser, 2000.
[SFB-Report F003-132, TU Graz, Austria, 1998].
[ bib |
.ps.gz ]
O. Aichholzer, E.D. Demaine, J. Erickson, F. Hurtado, M. Overmars, M.A. Soss,
and G.T. Toussaint.
Reconfiguring Convex
Polygons.
In Proc. 12th Annual Canadian Conference on Computational
Geometry CCCG 2000, pages 17--20, Fredericton, New Brunswick, Canada, 2000.
[ bib |
.ps.gz ]
O. Aichholzer.
The Path of a
Triangulation.
In Proc. 15th Ann. ACM Symp. Computational Geometry, pages
14--23, Miami Beach, Florida, USA, 1999.
[ bib |
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O. Aichholzer, F. Aurenhammer, and R. Hainz.
New results on MWT
subgraphs.
Information Processing Letters, 69:215--219, 1999.
[SFB Report F003-140, TU Graz, Austria, 1998].
[ bib |
.ps.gz ]
O. Aichholzer, F. Aurenhammer, C. Icking, R. Klein, E. Langetepe, and G. Rote.
Generalized
self-approaching curves.
In Proc. 14th European Workshop on Computational Geometry
CG '98, pages 15--18, Barcelona, Spain, 1998.
[ bib |
.ps.gz ]
O. Aichholzer, F. Aurenhammer, C. Icking, R. Klein, E. Langetepe, and G. Rote.
Generalized
self-approaching curves.
In Proc. 9th Int. Symp. Algorithms and Computation
ISAAC'98, Lecture Notes in Computer Science, volume 1533, pages 317--326,
Taejon, Korea, 1998. Springer Verlag.
[ bib |
.ps.gz ]
O. Aichholzer and F. Aurenhammer.
Straight skeletons for
general polygonal figures in the plane.
In A.M. Samoilenko, editor, Voronoi's Impact on Modern Sciences
II, volume 21, pages 7--21. Proc. Institute of Mathematics of the National
Academy of Sciences of Ukraine, Kiev, Ukraine, 1998.
[ bib |
.ps.gz ]
O. Aichholzer, F. Aurenhammer, D.Z. Chen, D.T. Lee, A. Mukhopadhyay, and
E. Papadopoulou.
Voronoi diagrams
for direction-sensitive distances (communication).
In Proc. 13th Ann. ACM Symp. Computational Geometry, pages
418--420, Nice, France, 1997.
[SFB Report F003-098, TU Graz, Austria, 1996].
[ bib |
.ps.gz ]
O. Aichholzer.
The Path of a
Triangulation.
In Proc. 13th European Workshop on Computational Geometry
CG '97, pages 1--3, Würzburg, Germany, 1997.
[ bib |
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O. Aichholzer, F. Aurenhammer, S.-W. Cheng, N. Katoh, G. Rote, M. Taschwer, and
Y.-F. Xu.
Triangulations
intersect nicely.
Discrete & Computational Geometry, 16:339--359, 1996.
Special Issue. [SFB Report F003-030, TU Graz, Austria, 1995].
[ bib |
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O. Aichholzer and F. Aurenhammer.
Classifying hyperplanes in
hypercubes.
SIAM Journal on Discrete Mathematics, 9(2):225--232, 1996.
[IIG-Report-Series 408, TU Graz, Austria, 1995].
[ bib |
.ps.gz ]
O. Aichholzer, F. Aurenhammer, G. Rote, and Y.-F. Xu.
Constant-level greedy
triangulations approximate the MWT well.
In Cheng Du, Zhang, editor, Proc. 2nd Int'l. Symp.
Operations Research & Applications ISORA'96, Lecture Notes in Operations
Research, volume 2, pages 309--318, Guilin, P. R. China, 1996. World
Publishing Corporation.
[ bib |
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O. Aichholzer, F. Aurenhammer, G. Rote, and Y.-F. Xu.
New greedy triangulation
algorithms.
In Proc. 12th European Workshop on Computational Geometry
CG '96, pages 11--14, Münster, Germany, 1996.
[ bib |
.ps.gz ]
O. Aichholzer and F. Aurenhammer.
Straight skeletons for
general polygonal figures.
In Proc. 2nd Ann. Int'l. Computing and Combinatorics Conf.
COCOON'96, Lecture Notes in Computer Science, volume 1090, pages 117--126,
Hong Kong, 1996. Springer Verlag.
[IIG-Report-Series 423, TU Graz, Austria, 1995].
[ bib |
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O. Aichholzer.
Local properties of
triangulations.
In Proc. 11th European Workshop on Computational Geometry
CG '95, pages 27--30, Hagenberg/Linz, Austria, 1995.
[ bib |
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O. Aichholzer, D. Alberts, F. Aurenhammer, and B. Gärtner.
A novel type of skeleton
for polygons.
Journal of Universal Computer Science, 1(12):752--761, 1995.
[IIG-Report-Series 424, TU Graz, Austria, 1995].
[ bib |
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O. Aichholzer, D. Alberts, F. Aurenhammer, and B. Gärtner.
Straight skeletons of
simple polygons.
In Proc. 4th Int. Symp. of LIESMARS, pages 114--124,
Wuhan, P. R. China, 1995.
[ bib |
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O. Aichholzer, F. Aurenhammer, G. Rote, and M. Taschwer.
Triangulations intersect
nicely.
In Proc. 11th Ann. ACM Symp. Computational Geometry, pages
220--229, Vancouver, Canada, 1995.
[ bib |
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O. Aichholzer, H. Alt, and G. Rote.
Matching Shapes with a
Reference Point.
In Proc. 10th European Workshop on Computational Geometry
CG '94, pages 81--84, Santander, Spain, 1994.
[ bib |
.ps.gz ]
O. Aichholzer and F. Aurenhammer.
Classifying hyperplanes in
hypercubes.
In Proc. 10th European Workshop on Computational Geometry
CG '94, pages 53--57, Santander, Spain, 1994.
[ bib |
.ps.gz ]
O. Aichholzer, H. Alt, and G. Rote.
Matching Shapes with a
Reference Point.
In Proc. 10th Ann. ACM Symp. Computational Geometry, pages
85--92, Stony Brook, New York, USA, 1994.
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