Upper bounds on the linear chromatic number of a graph
نویسندگان
چکیده
منابع مشابه
Upper bounds for the chromatic number of a graph
For a connected graph G of order n, the clique number ω(G), the chromatic number χ(G) and the independence number α(G) satisfy ω(G) ≤ χ(G) ≤ n − α(G) + 1. We will show that the arithmetic mean of the previous lower and upper bound provides a new upper bound for the chromatic number of a graph.
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2011
ISSN: 0012-365X
DOI: 10.1016/j.disc.2010.10.023