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- W2079261006 abstract "Let G be a multigraph with vertex set V ( G ) . An edge coloring C of G is called an edge-cover-coloring if each color appears at least once at each vertex v ∈ V ( G ) . The maximum positive integer k such that G has a k -edge-cover-coloring is called the edge cover chromatic index of G and is denoted by χ c ′ ( G ) . It is well known that min { d ( v ) − μ ( v ) : v ∈ V } ≤ χ c ′ ( G ) ≤ δ ( G ) , where μ ( v ) is the multiplicity of v and δ ( G ) is the minimum degree of G . We improve this lower bound to δ ( G ) − 1 when 2 ≤ δ ( G ) ≤ 5 . Furthermore we show that this lower bound is best possible." @default.
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- W2079261006 date "2008-12-01" @default.
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- W2079261006 title "A note on the edge cover chromatic index of multigraphs" @default.
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