J. Byrne

collaborators

3 papers

math.CO2025

New constructions and bounds for nonabelian Sidon sets with applications to Turán-type problems

John Byrne, Michael Tait

An $S_{k}$ -set in a group $Γ$ is a set $A \subseteq Γ$ such that $α_{1} \dots α_{k} = β_{1} \dots β_{k}$ with $α_{i}, β_{i} \in A$ implies $(α_{1}, \dots, α_{k}) = (β_{1}, \dots, β_{k})$ . An $S_{k}^{'}$ -set is a set suc…

math.CO2025

Expansion in Distance Matrices

John Byrne, Jacob Johnston, Carl Schildkraut +1

The normalized distance Laplacian matrix $D^{L} (G)$ of a graph $G$ is a natural generalization of the normalized Laplacian matrix, arising from the matrix of pa…

math.CO2025

Rainbow Turán numbers for short brooms

John Byrne, E. G. K. M Gamlath, Anastasia Halfpap +2

A graph $G$ is rainbow- $F$ -free if it admits a proper edge-coloring without a rainbow copy of $F$ . The rainbow Turán number of $F$ , denoted $e x^{*} (n, F)$ , is the maximum num…