S. Nelson

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math.CO2026

Character theoretic techniques for nonabelian partial difference sets

Seth R. Nelson, Eric Swartz

A $(v, k, I^», I^¼)$ -partial difference set (PDS) is a subset $D$ of size $k$ of a group $G$ of order $v$ such that every nonidentity element $g$ of $G$ can be expressed in either $I^»$ …

math.CO2025

Planar Graphs with Ore-degree at Most seven is strongly $13$ -edge-colorable

Seth Nelson, Gexin Yu

A strong edge-coloring of a graph $G$ is a coloring of edges of $G$ such that every color class forms an induced matching. The strong chromatic index is the minimum number of color…

Character theoretic techniques for nonabelian partial difference sets

Planar Graphs with Ore-degree at Most seven is strongly 13-edge-colorable

Planar Graphs with Ore-degree at Most seven is strongly $13$ -edge-colorable