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arXiv · 2611.01203

On the growth of weak regular partitions in k-uniform hypergraphs

H. Sheats·C. Terry
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Abstract

This paper classifies hereditary properties of k-uniform hypergraphs according to bounds in the weak hypergraph regularity lemma first developed by Chung. Specifically, we prove the bounds must grow at a constant, polynomial, exponential, or tower rate. This generalizes work in the 3-uniform case by the second author.

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H. Sheats, C. Terry. 2026-10-31. On the growth of weak regular partitions in k-uniform hypergraphs. https://arxiv.org/abs/2611.01203

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