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Bounds on the Generalised Acyclic Chromatic Numbers of Bounded Degree Graphs

โœ Scribed by Catherine Greenhill; Oleg Pikhurko


Publisher
Springer Japan
Year
2005
Tongue
English
Weight
143 KB
Volume
21
Category
Article
ISSN
0911-0119

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## Abstract In this article we first give an upper bound for the chromatic number of a graph in terms of its degrees. This bound generalizes and modifies the bound given in 11. Next, we obtain an upper bound of the order of magnitude ${\cal O}({n}^{{1}-\epsilon})$ for the coloring number of a graph