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A Hajnal-Szemerédi Theorem for Skewed Colorings

Mathis Birken

Source record

Source: arXiv

Published: Sep 16, 2026

arXiv: 2609.18629

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Source abstract

The Hajnal-Szemerédi theorem guarantees an equitable (r+1)(r + 1)-coloring of every graph of maximum degree at most rr. 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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