Short Fans and the 5/6 Bound for Line Graphs
نویسندگان
چکیده
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: SIAM Journal on Discrete Mathematics
سال: 2017
ISSN: 0895-4801,1095-7146
DOI: 10.1137/16m1099030