Séminaire Lotharingien de Combinatoire, B19i (1988).
[Formerly: Publ. I.R.M.A. Strasbourg, 1988, 361/S-19, p.
Norma Zagaglia Salvi
On the Permanent of Certain Submatrices of Circulant
Let A = In + Ph +
Pk, where P represents the permutation (1 2
... n) and 1 <= h < k <= n-1. We prove
that the submatrix of A obtained by deleting the rows and the
columns intersecting at three non-zero entries belonging to I,
Pk has positive permanent, except in certain cases
that are completely determined.
The topic of this article is partially contained in the paper
"On certain generalized circulant matrices," Mathematica Pannonica
14 (2003), 273-281, written jointly with
Ernesto Dedó and Alberto Marini. Another article is in