Drawing outerplanar graphs using three edge lengths

Noga Alon; Ohad N. Feldheim

doi:https://doi.org/10.1016/j.comgeo.2014.10.006

Drawing outerplanar graphs using three edge lengths

Noga Alon, Ohad N. Feldheim

School of Computer Science

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

It is shown that for any outerplanar graph G there is a one to one mapping of the vertices of G to the plane, so that the number of distinct distances between pairs of connected vertices is at most three. This settles a problem of Carmi, Dujmović, Morin and Wood. The proof combines (elementary) geometric, combinatorial, algebraic and probabilistic arguments.

Original language	English
Pages (from-to)	260-267
Number of pages	8
Journal	Computational Geometry: Theory and Applications
Volume	48
Issue number	3
DOIs	https://doi.org/10.1016/j.comgeo.2014.10.006
State	Published - Mar 2015

Keywords

Degenerate drawing of a graph
Distance number of a graph
Outerplanar graphs

All Science Journal Classification (ASJC) codes

Computer Science Applications
Geometry and Topology
Control and Optimization
Computational Theory and Mathematics
Computational Mathematics

Access to Document

https://doi.org/10.1016/j.comgeo.2014.10.006

Cite this

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JO - Computational Geometry: Theory and Applications

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IS - 3

ER -

Drawing outerplanar graphs using three edge lengths

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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