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Straight Line Representations of Infinite Planar Graphs

✍ Scribed by Thomassen, C.


Book ID
120096509
Publisher
Oxford University Press
Year
1977
Tongue
English
Weight
362 KB
Volume
s2-16
Category
Article
ISSN
0024-6107

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An algorithm is developed for drawing straight-line planar graphs which are isomorphic to a convex polyhedron and simple (i.e. a connected graph with no self-loops or multiple branches). The construction of such graphs is outlined in three stages. Stage 1 determines all the independent cycles of the

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## Abstract We provide a new method for extending results on finite planar graphs to the infinite case. Thus a result of Ungar on finite graphs has the following extension: Every infinite, planar, cubic, cyclically 4‐edge‐connected graph has a representation in the plane such that every edge is a h