David A. Pike

collaborators

2 papers

math.CO2024

Proportion-Based Hypergraph Burning

Andrea C. Burgess, John A. Hawkin, Alexander J. M. Howse +2

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…

math.CO2024

Existential Closure in Uniform Hypergraphs

Andrea C. Burgess, Robert D. Luther, David A. Pike

For a positive integer $n$ , a graph with at least $n$ vertices is $n$ -existentially closed or simply $n$ -e.c. if for any set of vertices $S$ of size $n$ and any set $T \subseteq S$ ,…