Wayne Barrett

collaborators

2 papers

math.CO2025

The Classification of Graphs on $8$ vertices with Coinciding Zero Forcing number and Maximum Nullity

Wayne Barrett, Mark Hunnell, John Hutchens +1

We study the minimum rank of a (simple, undirected) graph, which is the minimum rank among all matrices in a space determined by the graph. We determine the exact set of graphs on…

math.CO2024

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues

Wayne Barrett, Shaun Fallat, Veronika Furst +3

The parameter $q (G)$ of an $n$ -vertex graph $G$ is the minimum number of distinct eigenvalues over the family of symmetric matrices described by $G$ . We show that all $G$ with $e(\…

The Classification of Graphs on 8 vertices with Coinciding Zero Forcing number and Maximum Nullity

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues

The Classification of Graphs on $8$ vertices with Coinciding Zero Forcing number and Maximum Nullity