Eric Swartz

activity

20172022

most citedLocally s-arc-transitive graphs arising from product action

1 citations · 1 across the 4 of their papers we have counts for

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math.CO2022★ 1 cited

Locally s-arc-transitive graphs arising from product action

Michael Giudici, Eric Swartz

We study locally $s$ -arc-transitive graphs arising from the quasiprimitive product action (PA). We prove that, for any locally $(G, 2)$ -arc-transitive graph with $G$ acting quasipri…

math.CO2020

Restrictions on parameters of partial difference sets in nonabelian groups

Eric Swartz, Gabrielle Tauscheck

A partial difference set $S$ in a finite group $G$ satisfying $1 \in / S$ and $S = S^{- 1}$ corresponds to an undirected strongly regular Cayley graph $Cay (G, S)$ . While the c…

math.CO2019

Homomorphisms of matrix algebras and constructions of Butson-Hadamard matrices

Padraig O Cathain, Eric Swartz

An $n \times n$ matrix $H$ is Butson-Hadamard if its entries are $k^{th}$ roots of unity and it satisfies $H H^{*} = n I_{n}$ . Write $B H (n, k)$ for the set of such matrices. Suppo…

math.CO2018

On prime order automorphisms of generalized quadrangles

Santana F. Afton, Eric Swartz

In this paper, we study prime order automorphisms of generalized quadrangles. We show that, if $Q$ is a thick generalized quadrangle of order $(s, t)$ , where $s > t$ and $…

math.CO2018

Spectra of Hadamard matrices

Ronan Egan, Padraig O Cathain, Eric Swartz

A Butson Hadamard matrix $H$ has entries in the kth roots of unity, and satisfies the matrix equation $H H^{*} = n I_{n}$ . We write $BH (n, k)$ for the set of such matrice…

math.CO2018

Transitive PSL(2,11)-invariant k-arcs in PG(4,q)

Torger Olson, Eric Swartz

A \textit{k}-arc in the projective space $PG (n, q)$ is a set of $k$ projective points such that no subcollection of $n + 1$ points is contained in a hyperplane. In this paper, w…