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math.CO2022★ 1 cited
The emergence of a giant rainbow component
Oliver Cooley, Tuan Anh Do, Joshua Erde +1
The random coloured graph is obtained from the Erdős-Rényi binomial random graph by assigning to each edge a colour from a set of colours independently and…
math.CO2022
High-order bootstrap percolation in hypergraphs
Oliver Cooley, Julian Zalla
Motivated by the bootstrap percolation process for graphs, we define a new, high-order generalisation to -uniform hypergraphs, in which we infect -sets of vertices for some i…