Article ID Journal Published Year Pages File Type
414627 Computational Geometry 2015 8 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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