On a Property of a Three-Dimensional Matrix | Zendy

David Blokh | Zendy

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On a Property of a Three-Dimensional Matrix

Author(s) -

David Blokh

Publication year - 2013

Publication title -

journal of discrete mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-9837

pISSN - 2090-9845

DOI - 10.1155/2013/797249

Subject(s) - set (abstract data type) , property (philosophy) , matrix (chemical analysis) , mathematics , combinatorics , group (periodic table) , discrete mathematics , algebra over a field , pure mathematics , computer science , physics , philosophy , materials science , epistemology , quantum mechanics , composite material , programming language

Let be the symmetrical group acting on the set and . Consider the set The main result of this paper is the following theorem. If the number of set entries is more than , then there exist entries such that , , and . The application of this theorem to the three-dimensional assignment problem is considered

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