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arxiv: 1212.6093 · v3 · submitted 2012-12-25 · 🧮 math.CO

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Strong edge-colorings for k-degenerate graphs

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classification 🧮 math.CO
keywords strongchromaticdegeneratedegreedeltadelta-kedge-coloringsgraph
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We prove that the strong chromatic index for each $k$-degenerate graph with maximum degree $\Delta$ is at most $(4k-2)\Delta-k(2k-1)+1$.

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