IJRIT International Journal of Research in Information Technology, Volume 1, Issue 4, April 2013, Pg. 38-50

International Journal of Research in Information Technology (IJRIT)

www.ijrit.com

ISSN 2001-5569

An Algorithm to Construct Super-Symmetric Latin Squares of Order 2n M.A.P.Chamikara1, S.R.Kodituwakku2, A.A.C.A.Jayathilake3, A.A.I.Perera4 1

Postgraduate Institute of Science, University of Peradeniya, Peradeniya, Sri Lanka. 2

Department of Statistics and Computer Science, Faulty of Science, University of Peradeniya, Sri Lanka

3

Department of Mathematics, University of Peradeniya, Peradeniya, Sri Lanka

4

Department of Mathematics, University of Peradeniya, Peradeniya, Sri Lanka

[email protected], [email protected] 2, [email protected], [email protected] 4

Abstract Literature shows that there are several ways of generating Latin squares, but there is not enough implementation about Super-symmetric Latin squares. This paper proposes a mathematical algorithm to construct Super-symmetric Latin squares of order 2 by substituting blocks of order 2n which has the basic properties of a recursive algorithm. The proposed algorithm was tested for a large number of orders and the results proved that the algorithm could be generalized for any input order n where n is a positive integer. Keywords: Combinatorics, Design theory, Graph theory, Latin Square, Super-symmetry

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An Algorithm to Construct Super-Symmetric Latin ...

Abstract. Literature shows that there are several ways of generating Latin squares, but there is not enough implementation about Super-symmetric Latin squares.
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