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• W1859283728 abstract "Fix $cin (0,1)$ and let $Gamma$ be a $lfloor c nrfloor$-regular digraph on $n$ vertices drawn uniformly at random. We prove that when $n$ is large, the (non-symmetric) adjacency matrix $M$ of $Gamma$ is invertible with high probability. The proof uses a couplings approach based on the switchings method of McKay and Wormald. We also rely on discrepancy properties for the distribution of edges in $Gamma$, recently proved by the author, to overcome certain difficulties stemming from the dependencies between the entries of $M$." @default.
• W1859283728 created "2016-06-24" @default.
• W1859283728 creator A5067825540 @default.
• W1859283728 date "2014-03-24" @default.
• W1859283728 modified "2023-09-27" @default.
• W1859283728 title "Dense random regular digraphs: singularity of the adjacency matrix" @default.
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• W1859283728 hasPublicationYear "2014" @default.
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