Výsledky vyhledávání - "Jones, Caleb W."

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Autor: Burgess, Andrea C., Hawkin, John A., Howse, Alexander J. M., Jones, Caleb W., Pike, David A.

Graph burning is a discrete process that models the spread of influence through a network using a fire as a proxy for the type of influence being spread. This process was recently extended to hypergraphs. We introduce a variant of hypergraph burning

Externí odkaz: http://arxiv.org/abs/2408.06283

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Extending Graph Burning to Hypergraphs

Autor: Burgess, Andrea C., Jones, Caleb W., Pike, David A.

Graph burning is a round-based game or process that discretely models the spread of influence throughout a network. We introduce a generalization of graph burning which applies to hypergraphs, as well as a variant called ''lazy'' hypergraph burning.

Externí odkaz: http://arxiv.org/abs/2403.01001

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Cops that surround a robber

Autor: Burgess, Andrea C., Cameron, Rosalind A., Clarke, Nancy E., Danziger, Peter, Finbow, Stephen, Jones, Caleb W., Pike, David A.

We introduce the game of Surrounding Cops and Robbers on a graph, as a variant of the original game of Cops and Robbers. In contrast to the original game in which the cops win by occupying the same vertex as the robber, they now win by occupying each

Externí odkaz: http://arxiv.org/abs/1910.14200

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