Multidimensional Permanents and an Upper Bound on the Number of Transversals in Latin Squares

Author:

Taranenko A. A.1

Affiliation:

1. Department of Mechanics and Mathematics; Novosibirsk State University; Novosibirsk Russia

Funder

Russian Foundation for Basic Research

Publisher

Wiley

Subject

Discrete Mathematics and Combinatorics

Reference11 articles.

1. Multidimensional permanents in enumeration problems;Avgustinovich;J Appl Industrial Math,2010

2. Some properties of nonnegative matrices and their permanents;Bregman;Soviet Math Dokl,1973

3. Proof of the van der Waerden conjecture for permanents;Egorychev;Siberian Math J,1981

4. A proof of the van der Waerden conjecture regarding the permanent of a doubly stochastic matrix;Falikman;Math Notes Acad Sci USSR,1981

5. N. Linial Z. Luria An upper bound on the number of high-dimensional permutations 10.1007/s00493-014-2842-8

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2. A Range of the Multidimensional Permanent on (0, 1)-Matrices;Springer Proceedings in Mathematics & Statistics;2023

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4. Transversals, Near Transversals, and Diagonals in Iterated Groups and Quasigroups;The Electronic Journal of Combinatorics;2021-09-10

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