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arXiv · 2507.03244

Every graph with no $K_7^{\vee}$-minor is $6$-colorable

Sergey Norin·Agnes Totschnig
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Abstract

Let $K_7^{\vee}$ denote the graph obtained from the complete graph on seven vertices by deleting two edges with a common end. Motivated by Hadwiger's conjecture, we prove that every graph with no $K_7^{\vee}$-minor is $6$-colorable.

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Sergey Norin, Agnes Totschnig. 2025-07-04. Every graph with no $K_7^{\vee}$-minor is $6$-colorable. https://arxiv.org/abs/2507.03244

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