Geodesic
Permanents of Hessenberg $(0,1)$-matrices revisited
The electronic journal of linear algebra, Tome 20 (2010), pp. 20-52.

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

Summary: This paper considers the maximum value of the permanent over the class $H(m, n)$ of n $\times n$ Hessenberg, (0, 1)-matrices with m 1's, and shows that among those matrices that attain the maximum value there exists a matrix with a special form. This special form determines the exact value of the maximum permanent on $H(m, n)$ for certain values of m and n.
Classification : 15A15
Keywords: Hessenberg matrices, permanents 
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     author = {Deschamp, Brent and Shader, Bryan L.},
     title = {Permanents of {Hessenberg} $(0,1)$-matrices revisited},
     journal = {The electronic journal of linear algebra},
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     publisher = {mathdoc},
     volume = {20},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2010__20__a51/}
}
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Deschamp, Brent; Shader, Bryan L. Permanents of Hessenberg $(0,1)$-matrices revisited. The electronic journal of linear algebra, Tome 20 (2010), pp. 20-52. http://geodesic.mathdoc.fr/item/ELA_2010__20__a51/