Geodesic
Acyclic digraphs and eigenvalues of \((0,1)\)-matrices
Journal of integer sequences, Tome 7 (2004) no. 3
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 
@article{JIS_2004__7_3_a2,
     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},
     year = {2004},
     volume = {7},
     number = {3},
     zbl = {1064.05101},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2004__7_3_a2/}
}
TY  - JOUR
AU  - McKay,  Brendan D.
AU  - Oggier,  Frédérique E.
AU  - Royle,  Gordon F.
AU  - Sloane,  N.J.A.
AU  - Wanless,  Ian M.
AU  - Wilf,  Herbert S.
TI  - Acyclic digraphs and eigenvalues of \((0,1)\)-matrices
JO  - Journal of integer sequences
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IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JIS_2004__7_3_a2/
LA  - en
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%A Oggier,  Frédérique E.
%A Royle,  Gordon F.
%A Sloane,  N.J.A.
%A Wanless,  Ian M.
%A Wilf,  Herbert S.
%T Acyclic digraphs and eigenvalues of \((0,1)\)-matrices
%J Journal of integer sequences
%D 2004
%V 7
%N 3
%U http://geodesic.mathdoc.fr/item/JIS_2004__7_3_a2/
%G en
%F JIS_2004__7_3_a2
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/