3 citations · 5 across the 7 of their papers we have counts for
7 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…
Sets of mutually orthogoval projective and affine planes
Charles J. Colbourn, Colin Ingalls, Jonathan Jedwab +3
A pair of planes, both projective or both affine, of the same order and on the same pointset are orthogoval if each line of one plane intersects each line of the other plane in at…
Constructions of difference sets in nonabelian 2-groups
Taylor Applebaum, John Clikeman, James A. Davis +5
Difference sets have been studied for more than 80 years. Techniques from algebraic number theory, group theory, finite geometry, and digital communications engineering have been u…
Partial Difference Sets in
Martin E. Malandro, Ken W. Smith
We give an algorithm for enumerating the regular nontrivial partial difference sets (PDS) in the group . We use our algorithm to obtain all of these PD…
All difference sets and related structures
Omar A. AbuGhneim, Dylan Peifer, Ken W. Smith
In 1978, Robert Kibler at the National Security Agency in Fort Meade, Maryland published a description of all noncyclic difference sets with . Kibler's decision to stop his…
Algebraic and combinatorial aspects of sandpile monoids on directed graphs
Scott Chapman, Rebecca Garcia, Luis David García-Puente +2
The sandpile group of a graph is a well-studied object that combines ideas from algebraic graph theory, group theory, dynamical systems, and statistical physics. A graph's sandpile…