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Dirac's theorem on chordal graphs implies Brooks' theorem
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math.CO
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theorembrookschordaldiracgraphsanotherfamousgive
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We give yet another proof of the list-color version of Brooks' theorem that is due, independently, to Vizing and to Erd\H{o}s, Rubin and Taylor, via a famous theorem of Dirac on chordal graphs.
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