Preprint
Aug 2026
Regularity method for hypergraphs with $4$-cycle-free links
We extend the hypergraph regularity method to sparse $3$-uniform hypergraphs whose vertex links are $C_4$-free. In other words, we consider hypergraphs $H=(V,E)$ that are $K_{1,2,2}$-free, which implies that $|E|=O(|V|^{5/2})$. For such hypergraphs we establish a sparse analogue of the removal lemma for the tight cycle...
Ayush Basu, C. Reiher, V. Rödl et al.
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