5 papers
Positive-Definite Matrices over Finite Fields
Joshua Cooper, Erin Hanna, Hays Whitlatch
The study of positive-definite matrices has focused on Hermitian matrices, that is, square matrices with complex (or real) entries that are equal to their own conjugate transposes.…
Counting Power Domination Sets in Complete m-ary Trees
Sviatlana Kniahnitskaya, Michele Ortiz, Olivia Ramirez +2
Motivated by the question of computing the probability of successful power domination by placing k monitors uniformly at random, in this paper we give a recursive formula to count…
A New Characterization of -Posets
Joshua Cooper, Peter Gartland, Hays Whitlatch
In 2016, Hasebe and Tsujie gave a recursive characterization of the set of induced -free and bowtie-free posets; Misanantenaina and Wagner studied these orders further, naming t…
Analogies between the crossing number and the tangle crossing number
Robin Anderson, Shuliang Bai, Fidel Barrera-Cruz +8
Tanglegrams are special graphs that consist of a pair of rooted binary trees with the same number of leaves, and a perfect matching between the two leaf-sets. These objects are of…
Uniquely Pressable Graphs: Characterization, Enumeration, and Recognition
Joshua N. Cooper, Hays W. Whitlatch
We consider "pressing sequences", a certain kind of transformation of graphs with loops into empty graphs, motivated by an application in phylogenetics. In particular, we address t…