Permanenten - Ein kurzer Überblick
Séminaire lotharingien de combinatoire, Tome 09 (1983)

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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/}
}
TY  - JOUR
AU  - Arnold Richard Kräuter
TI  - Permanenten - Ein kurzer Überblick
JO  - Séminaire lotharingien de combinatoire
PY  - 1983
VL  - 09
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_1983_09_a1/
ID  - SLC_1983_09_a1
ER  - 
%0 Journal Article
%A Arnold Richard Kräuter
%T Permanenten - Ein kurzer Überblick
%J Séminaire lotharingien de combinatoire
%D 1983
%V 09
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_1983_09_a1/
%F 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/