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Séminaire Lotharingien de Combinatoire, B19i (1988).

[Formerly: Publ. I.R.M.A. Strasbourg, 1988, 361/S-19, p.
97-103.]

# Norma Zagaglia Salvi

# On the Permanent of Certain Submatrices of Circulant
(0,1)-Matrices

**Abstract.**
Let *A = I*_{n} + *P*^{h} +
*P*^{k}, 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*,
*P*^{h},
*P*^{k} 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
preparation.