Algebraic proof of Brooks' theorem
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brookstheoremalgebraiccoloringproofalonextensiongame
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We give a proof of Brooks' theorem and its list coloring extension using the algebraic method of Alon and Tarsi; this also shows that the Brooks' theorem remains valid in a more general game coloring setting.
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Coloring, List Coloring, and Painting Squares of Graphs (and other related problems)
This is a survey compiling results on strong edge-coloring and related coloring problems for squares of graphs in planar and sparse classes.
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