Laura Johnson

activity

20242026

collaborators

4 papers

math.CO2026

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.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 $J$ of an…

math.NT2025

Beyond uniform cyclotomy

Sophie Huczynska, Laura Johnson, Maura B. Paterson

Cyclotomy, the study of cyclotomic classes and cyclotomic numbers, is an area of number theory first studied by Gauss. It has natural applications in discrete mathematics and infor…

math.CO2024

Denniston partial difference sets exist in the odd prime case

James A. Davis, Sophie Huczynska, Laura Johnson +1

Denniston constructed partial difference sets (PDSs) with the parameters $(2^{3 m}, (2^{m + r} - 2^{m} + 2^{r}) (2^{m} - 1), 2^{m} - 2^{r} + (2^{m + r} - 2^{m} + 2^{r}) (2^{r} - 2), (2^{m + r} - 2^{m} + 2^{r}) (2^{r} - 1))$ in ele…