3 papers
math.CO2018
Resolution of Conjectures Related to Lights Out! and Cartesian Products
Bryan Curtis, Jonathan Earl, David Livingston +1
Lights Out! is a game played on a grid of lights, or more generally on a graph. Pressing lights on the grid allows the player to turn off neighboring lights. The goal…
math.RA2016
Refined Inertia of Matrix Patterns
Jonathan Earl, Kevin N. Vander Meulen, Adam Van Tuyl
We explore how the combinatorial arrangement of prescribed zeros in a matrix affects the possible eigenvalues that the matrix can obtain. We demonstrate that there are inertially a…
math.CO2015
Independence complexes of well-covered circulant graphs
Jonathan Earl, Kevin N. Vander Meulen, Adam Van Tuyl
We study the independence complexes of families of well-covered circulant graphs discovered by Boros-Gurvich-Milanič, Brown-Hoshino, and Moussi. Because these graphs are well-cover…