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arXiv · 1208.0744

Drawing outerplanar graphs

Noga Alon·Ohad Noy Feldheim
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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, Dujmovic, Morin and Wood. The proof combines (elementary) geometric, combinatorial, algebraic and probabilistic arguments.

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Noga Alon, Ohad Noy Feldheim. 2012-08-03. Drawing outerplanar graphs. https://doi.org/10.1016/j.comgeo.2014.10.006

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