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Acyclic Digraphs and Eigenvalues of O,1 Matrices

McKay, Brendan; Oggier, Frederique; Royle, Gordon; Sloane, N J A; Wanless, Ian; Wilf, Herbert


We show that the number of acyclic directed graphs with n labeled vertices is equal to the number of n × n (0, 1)-matrices whose eigenvalues are positive real numbers.

CollectionsANU Research Publications
Date published: 2004
Type: Journal article
Source: Journal of Integer Sequences


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