1 citations · 1 across the 11 of their papers we have counts for
11 papers
Transmission Zero Forcing
Adam H. Berliner, Chassidy Bozeman, Karen L. Collins +3
We initiate the study of transmission zero forcing, a variant of the well-studied zero forcing graph parameter. In this variant, a subset of vertices is assigned an initial unit we…
Zero forcing propagation time intervals and graphs with fixed propagation time
Daniela Ferrero, H. Tracy Hall, Leslie Hogben +2
Zero forcing in a graph refers to the evolution of vertex states under repeated application of a color change rule. Typically the states are chosen to be blue and white, and a forc…
Fault Tolerant Zero Forcing
Asher Brown, Mark Hunnell, Za'Kiyah Toomer-Sanders +1
Zero forcing is an iterative graph coloring process studied for its wide array of applications. In this process, the vertices of the graph are initially designated as blue or white…
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…
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…
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…
Fixed point groups of involutions of type over a field of characteristic two
Mark Hunnell, John Hutchens
For , the orthogonal group over a field of characteristic 2 with respect to a quadratic form , we discuss the isomorphism classes of fixed…
Upper Bounds for Positive Semidefinite Propagation Time
Leslie Hogben, Mark Hunnell, Kevin Liu +3
The tight upper bound is established for the pos…
Minimal Parabolic -subgroups acting on Symmetric -varieties Corresponding to -split Groups
Mark Hunnell
Symmetric -varieties are a natural generalization of symmetric spaces to general fields . We study the action of minimal parabolic -subgroups on symmetric -varieties an…
On involutions of type over a field of characteristic two
Mark Hunnell, John Hutchens, Nathaniel Schwartz
In this article we study the involutions of , an orthogonal group for a vector space with quadratic form over a field of characteristic 2…
Isomorphy Classes of Finite Order Automorphisms of SL(2, k)
Robert W. Benim, Mark Hunnell, Amanda K. Sutherland
In this paper, we consider the order m k-automorphisms of SL(2,k). We first characterize the forms that order m k-automorphisms of SL(2,k) take and then we simple conditions on mat…