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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.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…