98 citations · 400 across the 40 of their papers we have counts for
50 papers
The Inverse Symplectic Eigenvalue Problem of a Graph
Himanshu Gupta, Leslie Hogben, Bryan Shader +1
Symplectic geometry plays an increasingly important role in mathematics, physics and applications, and naturally gives rise to interesting matrix families and properties. One of th…
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…
Sharp bounds for product and sum throttling numbers
Ryan Blair, Gabriel Elvin, Veronika Furst +3
Throttling in graphs optimizes a sum or product of resources used, such as the number of vertices in an initial set, and time required, such as the propagation time, to complete a…
Apportionable matrices and gracefully labelled graphs
Antwan Clark, Bryan A. Curtis, Edinah K. Gnang +1
To apportion a complex matrix means to apply a similarity so that all entries of the resulting matrix have the same magnitude. We initiate the study of apportionment, both by unita…
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…
Positive and Negative Square Energies of Graphs
Aida Abiad, Leonardo de Lima, Dheer Noal Desai +3
The energy of a graph is the sum of the absolute values of the eigenvalues of the adjacency matrix of . Let denote the sum of the squares of the positive an…