Hongyi Gou

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math.LO2026

Almost-linear Zarankiewicz bounds in $1$ -semi-equational theories

Hongyi Gou, Mostafa Mirabi, Mihir Mittal +2

We study multipartite hypergraphs definable in $1$ -semi\-equational theories and prove almost-linear Zarankiewicz bounds in every fixed arity $r \geq 2$ . More precisely, if $T$ is a…

math.LO2026

On Zarankiewicz's bounds for valued vector spaces

Hongyi Gou, Mihir Mittal, Chieu-Minh Tran +1

We establish absolute and relative almost-linear Zarankiewicz bounds for semilinear relations in valued vector spaces. For every fixed arity and description complexity, a $K_{t,\ld…

Almost-linear Zarankiewicz bounds in 1-semi-equational theories

On Zarankiewicz's bounds for valued vector spaces

Almost-linear Zarankiewicz bounds in $1$ -semi-equational theories