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20142025
most citedSize biased couplings and the spectral gap for random regular graphs

42 citations · 103 across the 13 of their papers we have counts for

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math.CO2025

Upper tails for homomorphism counts in sparse random hypergraphs

Nicholas A. Cook, Nguyen Nguyen

The "infamous upper tail problem" for -uniform hypergraphs is to estimate the probability that the number of copies of a fixed hypergraph in a large binomial -uniform hyp…

math.CO2014

Discrepancy properties for random regular digraphs

Nicholas A. Cook

For the uniform random regular directed graph we prove concentration inequalities for (1) codegrees and (2) the number of edges passing from one set of vertices to another. As a co…