4 citations · 6 across the 16 of their papers we have counts for
26 papers
Nonabelian partial difference sets constructed using abelian techniques
James Davis, John Polhill, Ken Smith +1
A -partial difference set (PDS) is a subset of a group such that , , and every nonidentity element of can be written in either or…
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…
Null ideals of sets of similar matrices with irreducible characteristic polynomial
Eric Swartz, Nicholas J. Werner
Let be a field and the ring of matrices over . Given a subset of , the null ideal of is the set of all polynomials with coefficient…
Cliques and independent subgroups of the Birkhoff polytope graph
Zejun Huang, Chi-Kwong Li, Eric Swartz +1
The Birkhoff polytope is the polytope of doubly stochastic matrices of order . The Birkhoff polytope graph is the skeleton of ; it is the Cayley graph whose…
A new infinite family of -elementary rings
Eric Swartz, Nicholas J. Werner
A cover of an associative (not necessarily commutative nor unital) ring is a collection of proper subrings of whose set-theoretic union equals . If such a cover exists,…
Locally s-arc-transitive graphs arising from product action
Michael Giudici, Eric Swartz
We study locally -arc-transitive graphs arising from the quasiprimitive product action (PA). We prove that, for any locally -arc-transitive graph with acting quasipri…