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arXiv · 2609.18629

A Hajnal-Szemerédi Theorem for Skewed Colorings

Mathis Birken
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Abstract

The Hajnal-Szemerédi theorem guarantees an equitable $(r + 1)$-coloring of every graph of maximum degree at most $r$. We prove a version of this result for more general prescribed color class sizes, subject only to a natural upper bound.

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Mathis Birken. 2026-09-16. A Hajnal-Szemerédi Theorem for Skewed Colorings. https://arxiv.org/abs/2609.18629

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