3 papers
math.CO2025
On relative simple Heffter spaces
Laura Johnson, Lorenzo Mella, Anita Pasotti
In this paper, we introduce the concept of a relative Heffter space which simultaneously generalizes those of relative Heffter arrays and Heffter spaces. Given a subgroup of an…
math.CO2025
Strongly Regular Graphs with Generalized Denniston and Dual Generalized Denniston Parameters
Shuxing Li, James A. Davis, Sophie Huczynska +2
We construct two families of strongly regular Cayley graphs, or equivalently, partial difference sets, based on elementary abelian groups. The parameters of these two families are…
math.CO2024
Additive triples in groups of odd prime order
Sophie Huczynska, Jonathan Jedwab, Laura Johnson
Let be an odd prime. For nontrivial proper subsets of of cardinality , respectively, we count the number of additive triples, namely elemen…