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Chromatic number of prime distance graphs

โœ Scribed by M. Voigt; H. Walther


Book ID
104183154
Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
619 KB
Volume
51
Category
Article
ISSN
0166-218X

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## A b&act Voigt, M. and H. Walther, On the chromatic number of special distance graphs, Discrete Mathematics 97 (1991) 395-397. For all 12 10 and u 2 1' -61+ 3 the chromatic number is proved to be 3 for distance graphs with all integers as vertices, and edges only if the vertices are at distance

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## Abstract Suppose __D__ is a subset of __R__^+^. The distance graph __G__(__R, D__) is the graph with vertex set __R__ in which two vertices __x__,__y__ are adjacent if |__x__โˆ’__y__| โˆˆ __D__. This study investigates the circular chromatic number and the fractional chromatic number of distance gra