CCMS Colloquium: Ryan Moruzzi (CSU Northridge)
April 17 @ 11:00 am - 12:15 pm
CCMS Colloquium invites you to a talk by Ryan Moruzzi (CSU Northridge)
Title: Exploring Leaky Forcing Through Hopi Rectangle graphs
Abstract: Leaky forcing, introduced in 2019, is a graph-coloring process motivated by questions of network monitoring, in which the loss of information can hinder propagation through a graph. As a variant of standard zero forcing, leaky forcing has opened new directions in the study of zero forcing and related graph parameters. In this talk, based on joint work with students, we will collaboratively investigate the leaky forcing number for several graphs before focusing on a family of graphs called Hopi Rectangles. By viewing these graphs as induced subgraphs of d-dimensional grid graphs, we classify their leaky forcing numbers. Time permitting, we will conclude by discussing the maximum nullity of this graph family and its connection to standard zero forcing.
Bio: I am a husband, father, sports enthusiast, and mathematician who enjoys spending time with my family and the energy of sports. I earned my B.S. in Mathematics from Cal Poly Pomona and my Ph.D. in Mathematics from the University of California, Riverside, where I specialized in representation theory. My research interests lie in combinatorics, discrete mathematics, and linear algebra, with particular emphasis on the inverse eigenvalue problem of a graph, zero forcing and its variations, throttling, and propagation time on graphs. I also care deeply about teaching and mentorship, and as an educator I am committed to fostering equity and inclusion by working intentionally to remove barriers that limit student success.
