The concept of the star chromatic number of a graph was introduced by Vince (A. Vince, Star chromatic number, J. Graph Theory 12 (1988), 551--559), which is a natural generalization of the chromatic number of a graph. This paper calculates the star chromatic numbers of three infinite families of pla
Some graphs with chromatic number three
β Scribed by Jean A Larson
- Book ID
- 103503793
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 412 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
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The distance graph G(D) with distance set D={d 1 , d 2 , ...} has the set Z of integers as vertex set, with two vertices i, j Β₯ Z adjacent if and only if |i -j| Β₯ D. We prove that the chromatic number of G(D) is finite whenever inf{d i+1 /d i } > 1 and that every growth speed smaller than this admit
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