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Straight line embeddings of cubic planar graphs with integer edge lengths

โœ Scribed by Jim Geelen; Anjie Guo; David McKinnon


Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
87 KB
Volume
58
Category
Article
ISSN
0364-9024

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โœฆ Synopsis


Abstract

We prove that every simple cubic planar graph admits a planar embedding such that each edge is embedded as a straight line segment of integer length. ยฉ 2008 Wiley Periodicals, Inc. J Graph Theory 58:270โ€274, 2008


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In this paper we show that any maximal planar graph with m triangles except the unbounded face can be transformed into a straight-line embedding in which at least Wmร‚3X triangles are acute triangles. Moreover, we show that any maximal outerplanar graph can be transformed into a straight-line embeddi