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The Borodin-Kostochka conjecture for graphs containing a doubly critical edge - MaRDI portal

The Borodin-Kostochka conjecture for graphs containing a doubly critical edge (Q1010594)

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scientific article; zbMATH DE number 5540822
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English
The Borodin-Kostochka conjecture for graphs containing a doubly critical edge
scientific article; zbMATH DE number 5540822

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    The Borodin-Kostochka conjecture for graphs containing a doubly critical edge (English)
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    7 April 2009
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    Summary: We prove that if \(G\) is a graph containing a doubly-critical edge and satisfying \(\chi \geq \Delta \geq 6\), then \(G\) contains a \(K_{\Delta}\).
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    double critical edge
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    lonely path lemma
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    optimal coloring
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    vertex disjoint paths
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