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On the Number of Plane Geometric Graphs

✍ Scribed by Oswin Aichholzer; Thomas Hackl; Clemens Huemer; Ferran Hurtado; Hannes Krasser; Birgit Vogtenhuber


Publisher
Springer Japan
Year
2007
Tongue
English
Weight
262 KB
Volume
23
Category
Article
ISSN
0911-0119

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## Abstract Given a simple plane graph __G__, an edge‐face __k__‐coloring of __G__ is a function Ο• : __E__(__G__) βˆͺ __F__(G) →  {1,…,__k__} such that, for any two adjacent or incident elements __a__, __b__ ∈ __E__(__G__) βˆͺ __F__(__G__), Ο•(__a__) ≠ ϕ(__b__). Let Ο‡~e~(__G__), Ο‡~ef~(__G__), and Ξ”(__G_