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arXiv · 2609.06867

Beyond halfway to Hadwiger's conjecture

Chun-Hung Liu·Jason Luo
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Abstract

Hadwiger conjectured in 1943 that every graph with no $K_t$ minor has chromatic number at most $t-1$. Delcourt and Postle proved that every graph with no $K_t$ minor has chromatic number $O(t\log\log t)$. We build on their result to improve this bound to $O(t\log\log\log t)$.

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Chun-Hung Liu, Jason Luo. 2026-09-09. Beyond halfway to Hadwiger's conjecture. https://arxiv.org/abs/2609.06867

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