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Volume :39 Issue : 2 2012      Add To Cart                                                                    Download

Isomorph-rejection: Theory and an application

Auther : ABDULLAH AL-AZEMI

Department of Mathematics, Faculty of Science, Kuwait University, P.O. Box 5969, Safat - 13060, Kuwait, e-mail: alazmi@sci.kuniv.edu.kw ABSTRACT We describe, in some detail, classification algorithms that are suitable for several common searching tasks in combinatorics. We first consider the theory of two orderly generation algorithms. The first is due to Farad zev and Read (independently), while the second is due to McKay. After that, we use the later one in the classification of matrices with rows and columns (where ) so that each row and each column has constant row sum and constant column sum, respectively. As a result, there are non-isomorphic matrices over with rows and columns summing to . Keywords: -matrices, classification, Isomorphism classes, orderly generation.

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Jun 19, 2012

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