Eric Swartz

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math.CO2026

Circular sorting in the alternating group

Melanie Ferreri, Eric Swartz, Nicholas J. Werner

The symmetric group $S_{n}$ is generated by transpositions, and problems of sorting permutations using transpositions are well studied. In recent work, Adin, Alon, and Roichman studi…

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 $I^»$ …