Kai Deng
Abstract
This paper defined the star-edge coloring and star chromatic index x′_s(G),and proved that if G is a graph withΔ≥7 then x′_s(G)≤[16(Δ-1)3/2].Our results implied that if G is a line graph with maximum degreeΔ≥12 then x_s(G)≤[16(Δ-1)3/2].
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This paper defined the star-edge coloring and star chromatic index x′_s(G),and proved that if G is a graph withΔ≥7 then x′_s(G)≤[16(Δ-1)3/2].Our results implied that if G is a line graph with maximum degreeΔ≥12 then x_s(G)≤[16(Δ-1)3/2].
Key concepts: Star (game theory), Edge coloring, Combinatorics, Mathematics, Chromatic scale, Graph, Index (typography), Windmill graph