Geodesic
Mathematical Modeling of the Weaving Structure Design
Mathematics and Education in Mathematics, Tome 39 (2010) no. 1, pp. 212-220.

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An equivalence relation in the set of all square binary matrices is described in this paper. It is discussed a combinatoric problem about finding the cardinal number and the elements of the factor set according to this relation. We examine the possibility to get some special elements of this factor set. We propose an algorithm, which solves these problems. The results we have received are used to describe the topology of the different weaving structures. *2000 Mathematics Subject Classification: 15B34, 05A05, 93A30, 68W40.
Keywords: Binary Matrix, Permutation Matrix, Equivalence Relation, Factor Set, Symmetric Group, Double Coset, Cardinal Number 
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Yordzhev, Krasimir; Kostadinova, Hristina. Mathematical Modeling of the Weaving Structure Design. Mathematics and Education in Mathematics, Tome 39 (2010) no. 1, pp. 212-220. http://geodesic.mathdoc.fr/item/MEM_2010_39_1_a22/