Graph Drawings with Relative Edge Length Specifications

O. Aichholzer, M. Hoffmann, M. V. Kreveld, and G. Rote

Abstract:

We study plane straight-line embeddings of graphs where certain edges are specified to be longer than other edges. We analyze which graphs are universal in the sense that they allow a planar embedding for any total, strict order on the edge lengths. In addition, we also briefly consider circular arc drawings with relative edge length specifications.



Reference: O. Aichholzer, M. Hoffmann, M. V. Kreveld, and G. Rote. Graph drawings with relative edge length specifications. In Proc. $26^{th}$ Annual Canadian Conference on Computational Geometry CCCG 2014, page online, Halifax, Nova Scotia, Canada, 2014.

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