Ryan Moruzzi

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math.CO2025

Leaky Zero Forcing on Induced Subgraphs of $d$ -dimensional Grid Graphs with an Application to Hopi Rectangles

Ryan Moruzzi, Sagar Shah, Aaditeya Tripathi

We study zero forcing and $ℓ$ -leaky zero forcing on induced subgraphs of $d$ -dimensional grid graphs. Using $ℓ$ -leaky forts, we prove structural results showing that for $\el…

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…

math.CO2023

Leaky Positive Semidefinite Forcing on Graphs

Olivia Elias, Ian Farish, Emrys King +2

We introduce $ℓ$ -leaky positive semidefinite forcing and the $ℓ$ -leaky positive semidefinite number of a graph, $Z_{(ℓ)}^{+} G$ , which combines the positive semidefinite co…

Leaky Zero Forcing on Induced Subgraphs of d-dimensional Grid Graphs with an Application to Hopi Rectangles

Reconfiguration of Minimum PSD Forcing Sets and Minimum Skew Forcing Sets

Leaky Positive Semidefinite Forcing on Graphs

Leaky Zero Forcing on Induced Subgraphs of $d$ -dimensional Grid Graphs with an Application to Hopi Rectangles