Approximating the chromatic index of multigraphs
نویسندگان
چکیده
منابع مشابه
Approximating the chromatic index of multigraphs
It is well known that if G is a multigraph then χ(G) ≥ χ(G) := max{∆(G), Γ(G)}, where χ(G) is the chromatic index of G, χ(G) is the fractional chromatic index of G, ∆(G) is the maximum degree of G, and Γ(G) = max{2|E(G[U ])|/(|U | − 1) : U ⊆ V (G), |U | ≥ 3, |U | is odd}. The conjecture that χ(G) ≤ max{∆(G) + 1, dΓ(G)e} was made independently by Goldberg (1973), Anderson (1977), and Seymour (19...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Optimization
سال: 2009
ISSN: 1382-6905,1573-2886
DOI: 10.1007/s10878-009-9232-y