Geodesic
Acyclic digraphs and eigenvalues of $(0,1)$-matrices
Journal of integer sequences, Tome 7 (2004) no. 3.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 05A15, 15A18, 15A36
Keywords: (0, 1)-matrix, acyclic, digraph, eigenvalue 
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     author = {McKay, Brendan D. and Oggier, Fr\'ed\'erique E. and Royle, Gordon F. and Sloane, N.J.A. and Wanless, Ian M. and Wilf, Herbert S.},
     title = {Acyclic digraphs and eigenvalues of $(0,1)$-matrices},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2004__7_3_a2/}
}
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McKay, Brendan D.; Oggier, Frédérique E.; Royle, Gordon F.; Sloane, N.J.A.; Wanless, Ian M.; Wilf, Herbert S. Acyclic digraphs and eigenvalues of $(0,1)$-matrices. Journal of integer sequences, Tome 7 (2004) no. 3. http://geodesic.mathdoc.fr/item/JIS_2004__7_3_a2/