1 citations · 1 across the 4 of their papers we have counts for
12 papers
Split graphs and Block Representations
Karen L. Collins, Ann N. Trenk, Rebecca Whitman
In this paper, we study split graphs and related classes of graphs from the perspective of their sequence of vertex degrees and an associated lattice under majorization. Following…
Great-circle Tree Thrackles
Karen Collins, Cleo Roberts
A thrackle is a graph drawing in which every pair of edges meets exactly once. The Thrackle Conjecture (established by John Conway) states that the number of edges of a thrackle ca…
A Note on the Immersion Number of Generalized Mycielski Graphs
Karen L. Collins, Megan E. Heenehan, Jessica McDonald
The immersion number of a graph , denoted im, is the largest such that has a -immersion. In this note we are interested in determining the immersion number of…
Product Throttling
Sarah E. Anderson, Karen L. Collins, Daniela Ferrero +4
Throttling addresses the question of minimizing the sum or the product of the resources used to accomplish a task and the time needed to complete that task for various graph search…
Product throttling for power domination
Sarah E. Anderson, Karen L. Collins, Daniela Ferrero +4
The product power throttling number of a graph is defined to study product throttling for power domination. The domination number of a graph is an upper bound for its product power…
Clique immersion in graph products
Karen L. Collins, Megan E. Heenehan, Jessica McDonald
Let be graphs and represent a particular graph product of and . We define to be the largest such that has a -immersion and ask: given $im(G)…