Geodesic
Obere Schranken für die Permanente von (1,-1)-Matrizen
Séminaire lotharingien de combinatoire, Tome 10 (1984) 
Norbert Seifter. Obere Schranken für die Permanente von (1,-1)-Matrizen. Séminaire lotharingien de combinatoire, Tome 10 (1984). http://geodesic.mathdoc.fr/item/SLC_1984_10_a6/
@article{SLC_1984_10_a6,
     author = {Norbert Seifter},
     title = {Obere {Schranken} f\"ur die {Permanente} von {(1,-1)-Matrizen}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {1984},
     volume = {10},
     url = {http://geodesic.mathdoc.fr/item/SLC_1984_10_a6/}
}
TY  - JOUR
AU  - Norbert Seifter
TI  - Obere Schranken für die Permanente von (1,-1)-Matrizen
JO  - Séminaire lotharingien de combinatoire
PY  - 1984
VL  - 10
UR  - http://geodesic.mathdoc.fr/item/SLC_1984_10_a6/
ID  - SLC_1984_10_a6
ER  - 
%0 Journal Article
%A Norbert Seifter
%T Obere Schranken für die Permanente von (1,-1)-Matrizen
%J Séminaire lotharingien de combinatoire
%D 1984
%V 10
%U http://geodesic.mathdoc.fr/item/SLC_1984_10_a6/
%F SLC_1984_10_a6

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

E. T. H. Wang posed the following problem: is there a good upper bound for the permanent of a nonsingular (1,-1)-matrix? We conjecture an upper bound, namely the permanent of the nxn (1,-1)-matrix having exactly (n-1) -1's, these -1's being on the main diagonal, and prove that this upper bound holds for a large class of nonsingular matrices. Another upper bound, weaker than the above, is deduced for the permanents of a large class of (1,-1)-matrices, some of which are singular.

This is a report on the papers:

Arnold R. Kräuter, Norbert Seifter, Some properties of the permanent of (1,-1)-matrices, Linear and Multilinear Algebra 15 (1984), 207-223.

Norbert Seifter, Upper bounds for permanents of (1,-1)-matrices, Israel J. Math. 48 (1984), 69-78.