Eric Swartz

activity

20142024

most citedThe circular altitude of a graph

1 citations · 1 across the 7 of their papers we have counts for

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4 papers · 1 filter

math.CO2023

Nonabelian partial difference sets constructed using abelian techniques

James Davis, John Polhill, Ken Smith +1

A $(v, k, λ, μ)$ -partial difference set (PDS) is a subset $D$ of a group $G$ such that $∣ G ∣ = v$ , $∣ D ∣ = k$ , and every nonidentity element $x$ of $G$ can be written in either $λ$ or…

math.CO2023

Genuinely nonabelian partial difference sets

John Polhill, James Davis, Ken Smith +1

Strongly regular graphs (SRGs) provide a fertile area of exploration in algebraic combinatorics, integrating techniques in graph theory, linear algebra, group theory, finite fields…

math.CO2016★ 1 cited

The circular altitude of a graph

John Bamberg, Brian Corr, Alice Devillers +3

In this paper we investigate a parameter of graphs, called the circular altitude, introduced by Peter Cameron. We show that the circular altitude provides a lower bound on the circ…

math.CO2015

On $2$ -arc-transitive graphs of order $k p^{n}$

Luke Morgan, Eric Swartz, Gabriel Verret

We show that there exist functions $c$ and $g$ such that, if $k$ , $n$ and $d$ are positive integers with $d > g (n)$ and $Γ$ is a $d$ -valent $2$ -arc-transitive graph of order $k p^{n}$ …

Nonabelian partial difference sets constructed using abelian techniques

Genuinely nonabelian partial difference sets

The circular altitude of a graph

On 2-arc-transitive graphs of order kpn

On $2$ -arc-transitive graphs of order $k p^{n}$