Abstract
The permanent of an n-square complex matrix
P = (pij
) is defined by
where the summation extends over Sn
, the symmetric group of degree n. This
matrix function has considerable significance in certain combinatorial problems
[6; 7]. The properties and many related problems about the permanent are presented
in [3] along with an extensive bibliography.
Publisher
Canadian Mathematical Society
Cited by
5 articles.
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1. Van der Waerden Conjecture and Applications;Handbook of Algebra;1996
2. The van der Waerden Permanent Conjecture;International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique;1983
3. Combinatorial analysis (matrix problems, order theory);Journal of Soviet Mathematics;1983
4. On Some Zero Configurations Associated with the van der Waerden Conjecture;Linear Algebra and its Applications;1980-08
5. On the Minimum Value of the Permanent of a Nearly Decomposable Doubly Stochastic Matrix;Linear Algebra and its Applications;1980-08