On an Application of Multidimensional Arrays
Krasimir Yordzhev *
South-West University Neofit Rilski, Blagoevgrad, Bulgaria.
*Author to whom correspondence should be addressed.
Abstract
This article discusses some diculties in the implementation of combinatorial algorithms associated with the choice of all elements with certain properties among the elements of a set with great cardinality.The problem has been resolved by using multidimensional arrays. Illustration of the method is a solution of the problem of obtaining one representative from each equivalence class with respect to the described in the article equivalence relation in the set of all m ∼ n binary matrices. This equivalence relation has an application in the mathematical modeling in the textile industry.
Keywords: Binary matrix, equivalence relation, factor-set, cardinality, multidimensional array.