Über die Permanente gewisser zirkulanter Matrizen und damit zusammenhängender Toeplitz-Matrizen
Séminaire lotharingien de combinatoire, Tome 11 (1984)
Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website
In the introductory section, a discussion of two applications of the permanent of circulant (0,1) matrices to classical enumeration problems is given, followed by a short survey of the hitherto published literature on the topic mentioned in the title in the case of (0,1) matrices. As to the analogous problem for (1,-1) matrices, we announce a couple of recent results, where special attention is given to the presentation of the methods needed to establish them. By the way, one of these methods gives rise to a new proof of Touchard's forumula for the reduced ménage numbers.
@article{SLC_1984_11_a1,
author = {Arnold Richard Kr\"auter},
title = {\"Uber die {Permanente} gewisser zirkulanter {Matrizen} und damit zusammenh\"angender {Toeplitz-Matrizen}},
journal = {S\'eminaire lotharingien de combinatoire},
publisher = {mathdoc},
volume = {11},
year = {1984},
url = {http://geodesic.mathdoc.fr/item/SLC_1984_11_a1/}
}
Arnold Richard Kräuter. Über die Permanente gewisser zirkulanter Matrizen und damit zusammenhängender Toeplitz-Matrizen. Séminaire lotharingien de combinatoire, Tome 11 (1984). http://geodesic.mathdoc.fr/item/SLC_1984_11_a1/