1 citations · 1 across the 4 of their papers we have counts for
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Between burning and cooling: liminal burning on graphs
Anthony Bonato, Trent G. Marbach, John Marcoux +1
Liminal burning generalizes both the burning and cooling processes in graphs. In -liminal burning, a Saboteur reveals -sets of vertices in each round, with the goal of extend…
Hypergraph burning, matchings, and zero forcing
Anthony Bonato, Caleb Jones, Trent G. Marbach +2
Lazy burning is a recently introduced variation of burning where only one set of vertices is chosen to burn in the first round. In hypergraphs, lazy burning spreads when all but on…
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…
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…