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Cyclic polytopes, hyperplanes, and Gray codes

✍ Scribed by Tibor Bisztriczky; Károly Böröczky, Jr.; DavidS. Gunderson

Publisher
Springer
Year
2003
Tongue
English
Weight
219 KB
Volume
78
Category
Article
ISSN
0047-2468

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A vertex coloring of a plane graph is called cyclic if the vertices in each face bounding cycle are colored differently. The main result is an improvement of the upper bound for the cyclic chromatic number of 3-polytopes due to Plummer and Toft, 1987 (J. Graph Theory 11 (1 987) 505-51 7). The proof

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In memory of Professor Gian-Carlo Rota for his great contributions in combinatorial and discrete geometry A set of n-tuples over 8 is called a code over 8 or a 8 code if it is a 8 module. A particularly interesting family of 8 -cyclic codes are quadratic residue codes. We define such codes in terms