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On the plane term rank of a three dimensional matrix

Published:1976 Issue:1 Volume:54 Page:471-473
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Brualdi R. A.,Csima J.

Abstract

A lower bound is obtained for the plane term rank of a three dimensional matrix in which each of the horizontal two dimensional matrices has constant row and column sums.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1976-054-01/S0002-9939-1976-0387319-4/S0002-9939-1976-0387319-4.pdf

Reference2 articles.

1. Extremal plane stochastic matrices of dimension three;Brualdi, R. A.;Linear Algebra Appl.,1975

2. A lower bound for the order of a partial transversal in a Latin square;Koksma, Klaas K.;J. Combinatorial Theory,1969

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3. Small matrices of large dimension;Linear Algebra and its Applications;1991-05

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