منابع مشابه
An upper bound for the chromatic number of line graphs
It was conjectured by Reed [12] that for any graph G, the graph’s chromatic number χ(G) is bounded above by l ∆(G)+1+ω(G) 2 m , where ∆(G) and ω(G) are the maximum degree and clique number of G, respectively. In this paper we prove that this bound holds if G is the line graph of a multigraph. The proof yields a polynomial time algorithm that takes a line graph G and produces a colouring that ac...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1997
ISSN: 0012-365X
DOI: 10.1016/0012-365x(95)00161-o