2 papers
math.CO2025
The Classification of Graphs on 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.CO2025
Reconfiguration of Minimum PSD Forcing Sets and Minimum Skew Forcing Sets
Novi Bong, Mary Flagg, Mark Hunnell +4
Reconfiguration graphs provide a way to represent relationships among solutions to a problem, and have been studied in many contexts. We investigate the reconfiguration graphs corr…