4 citations · 6 across the 11 of their papers we have counts for
11 papers
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…
Compatible Forts and Maximum Nullity of a Graph
Veronika Furst, John Hutchens, Lon Mitchell +1
We consider bounds on maximum nullity of a graph via transversal numbers of compatible collections of forts. Results include generalizations of theorems from symmetric to combinato…
The Spark of Symmetric Matrices Described by a Graph
Louis Deaett, Shaun Fallat, Veronika Furst +3
We investigate the sparsity of null vectors of real symmetric matrices whose off-diagonal pattern of zero and nonzero entries is described by the adjacencies of a graph. We use the…
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…
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…
Involutions of type over a field of characteristic 2
John Hutchens, Nathaniel Schwartz
In this paper we give a classification of classes of involutions on an automorphism group of an octonion algebra over fields of characteristic 2, and describe the classes of their…
Isomorphism classes of -involutions of algebraic groups of type
John Hutchens
Automorphisms of order are studied in order to understand generalized symmetric spaces. The groups of type we consider here can be realized as both the group of linear ma…
Isomorphism classes of -involutions of algebraic groups of type
John Hutchens
We continue the classification of isomorphism classes of k-involutions of exceptional algebraic groups. In this paper we classify k-involutions for split groups of type F4 over cer…
On involutions and generalized symmetric spaces of dicyclic groups
Abigail Bishop, Christopher Cyr, John Hutchens +3
Let $G=\Dc_{n}$ be the dicyclic group of order . Let be an automorphism of of order . We describe and the generalized symmetric space of associated with…
Isomorphy classes of k-involutions of G_2
John Hutchens
Isomorphy classes of k-involutions have been studied for their correspondence with generalized symmetric spaces of algebraic groups. This is a continuation of papers written by A.G…