Nicholas A. Cook

activity

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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Showing 2014 · math.PRShow all

2 papers · 2 filters

math.PR2014★ 5 cited

On the singularity of adjacency matrices for random regular digraphs

Nicholas A. Cook

We prove that the (non-symmetric) adjacency matrix of a uniform random $d$ -regular directed graph on $n$ vertices is asymptotically almost surely invertible, assuming $\min(d,n-d)\…

math.PR2014★ 2 cited

Dense random regular digraphs: singularity of the adjacency matrix

Nicholas A. Cook

Fix $c \in (0, 1)$ and let $Γ$ be a $⌊ c n ⌋$ -regular digraph on $n$ vertices drawn uniformly at random. We prove that when $n$ is large, the (non-symmetric) adjacency mat…