Permanenten - Ein kurzer Überblick
Séminaire lotharingien de combinatoire, Tome 09 (1983)
Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website
This article gives a concise survey on important problems of the theory of permanents. The definition of the permanent of a matrix and a summary of some of its basic properties are followed by a treatment of the problem of converting permanents into determinants, and a discussion of the van der Waerden conjecture that has been proved quite recently. Very important are lower and upper bounds for permanents; these are presented for (0,1)-matrices, nonnegative matrices, and (1,-1)-matrices. Finally, we give a brief review of a selection of other attractive topics in the theory of permanents, particularly very recent developments.
@article{SLC_1983_09_a1,
author = {Arnold Richard Kr\"auter},
title = {Permanenten - {Ein} kurzer {\"Uberblick}},
journal = {S\'eminaire lotharingien de combinatoire},
publisher = {mathdoc},
volume = {09},
year = {1983},
url = {http://geodesic.mathdoc.fr/item/SLC_1983_09_a1/}
}
Arnold Richard Kräuter. Permanenten - Ein kurzer Überblick. Séminaire lotharingien de combinatoire, Tome 09 (1983). http://geodesic.mathdoc.fr/item/SLC_1983_09_a1/