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arXiv 2003-10-28 0 views

Acyclic Digraphs and Eigenvalues of (0,1)-Matrices

McKay, Brendan D. · Oggier, Frederique E. · Royle, Gordon F. · Sloane, N. J. A. · Wanless, Ian M. · Wilf, Herbert S.

Original · EN

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

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