1 citations · 1 across the 6 of their papers we have counts for
6 papers
How to burn a Latin square
Anthony Bonato, Caleb Jones, Trent G. Marbach +1
We investigate the lazy burning process for Latin squares by studying their associated hypergraphs. In lazy burning, a set of vertices in a hypergraph is initially burned, and that…
Tic-Tac-Toe on Designs
Peter Danziger, Melissa A. Huggan, Rehan Malik +1
We consider playing the game of Tic-Tac-Toe on block designs BIBD() and transversal designs TD(). Players take turns choosing points and the first player to complete…
How to cool a graph
Anthony Bonato, Trent G. Marbach, Holden Milne +1
We introduce a new graph parameter called the cooling number, inspired by the spread of influence in networks and its predecessor, the burning number. The cooling number measures t…
The -visibility Localization Game
Anthony Bonato, Trent G. Marbach, John Marcoux +1
We study a variant of the Localization game in which the cops have limited visibility, along with the corresponding optimization parameter, the -visibility localization number $…
The Localization Game on Directed Graphs
Anthony Bonato, Ryan Cushman, Trent G. Marbach +1
In the Localization game played on graphs, a set of cops uses distance probes to identify the location of an invisible robber. We present an extension of the game and its main para…
On the intersection of three or four transversals of the back circulant latin square B_n
Trent Gregory Marbach
A paper by Cavenagh and Wanless diagnosed the possible intersection of any two transversals of the back circulant Latin square B_n, and used the result to completely determine the…