1 citations · 2 across the 15 of their papers we have counts for
4 papers · 1 filter
The zero forcing numbers and propagation times of gear graphs and helm graphs
Sara Anderton, Rilee Burden, McKenzie Fontenot +8
Zero forcing is a dynamic coloring process on graphs. Initially, each vertex of a graph is assigned a color of either blue or white, and then a process begins by which blue vertice…
Forts, (fractional) zero forcing, and Cartesian products of graphs
Thomas R. Cameron, Leslie Hogben, Franklin H. J. Kenter +2
The (disjoint) fort number and fractional zero forcing number are introduced and related to existing parameters including the (standard) zero forcing number. The fort hypergraph is…
New Structures and their Applications to Variants of Zero Forcing and Propagation Time
Leslie Hogben, Mark Hunnell, Kevin Liu +3
We introduce a generalization of the concept of a chronological list of forces, called a relaxed chronology. This concept is used to introduce a new way of formulating the standard…
The Strong Spectral Property of Graphs: Graph Operations and Barbell Partitions
Sarah Allred, Emelie Curl, Shaun Fallat +4
The utility of a matrix satisfying the Strong Spectral Property has been well established particularly in connection with the inverse eigenvalue problem for graphs. More recently t…