Patrick Morris

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20232026

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math.CO2026

Universal probability bounds for partial Latin squares

Jack Allsop, Patrick Morris

This paper studies the probability of substructures occurring in random Latin squares. Our main result states that if $α, β > 0$ are such that $2 α + β < 1$ , then there are positive consta…

math.CO2026

Graph bootstrap percolation -- a discovery of slowness

David Fabian, Patrick Morris, Tibor Szabó

Graph bootstrap percolation is a discrete-time process capturing the spread of a virus on the edges of $K_{n}$ . Given an initial set $G \subseteq K_{n}$ of infected edges, the transmiss…