Permanents of Hessenberg $(0,1)$-matrices revisited
ELA. The Electronic Journal of Linear Algebra, Tome 20 (2010), pp. 20-52.

Voir la notice de l'article dans 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
Mots-clés : Hessenberg matrices, permanents 
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     title = {Permanents of {Hessenberg} $(0,1)$-matrices revisited},
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     year = {2010},
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Deschamp, Brent; Shader, Bryan L. Permanents of Hessenberg $(0,1)$-matrices revisited. ELA. The Electronic Journal of Linear Algebra, Tome 20 (2010), pp. 20-52. https://geodesic-test.mathdoc.fr/item/EEJLA_2010__20__a51/