Zach Walsh

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math.CO2025

The column number for 3-modular matrices

Joseph Paat, Zach Walsh, Luze Xu

An integer-valued matrix $A$ is $Δ$ -modular if each $rank (A) \times rank (A)$ submatrix has determinant at most $Δ$ in absolute value. The c…

math.CO2023

Dense circuit graphs and the planar Turán number of a cycle

Ruilin Shi, Zach Walsh, Xingxing Yu

The $planar Tur a ˊ n number$ $ex_{P} (n, H)$ of a graph $H$ is the maximum number of edges in an $n$ -vertex planar graph without $H$ as a subgraph. Let $C_{k}$ …