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3-Factors of 3-Factorization of K3,3,3,…,3 with n-Partite Sets for All Even Integers n≥2

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  • M.D.M.C.P. Weerarathna

    (Department of Mathematics, Faculty of Science, University of Peradeniya, Sri Lanka)

  • D.M.T.B. Dissanayake

    (Department of Mathematics, Faculty of Science, University of Peradeniya, Sri Lanka)

  • A.A.I. Perera

    (Department of Mathematics, Faculty of Science, University of Peradeniya, Sri Lanka)

Abstract

A factorization of a graph G is a set of spanning sub-graph of G that are pairwise edge-disjoint and whose union is G. Factorization is one of the most active research areas in Graph Theory. In our previous work, 2-factors of 2-factorization of K(2,2,2,…,2) and K_(2r,2r,2r,⋯,2r) has been constructed by using degree factors. In this work, by considering degree factorization, a theorem has been proved to obtain 3-factors of 3-factorization of the complete multipartite graphs K(3,3,3,…,3).

Suggested Citation

  • M.D.M.C.P. Weerarathna & D.M.T.B. Dissanayake & A.A.I. Perera, 2020. "3-Factors of 3-Factorization of K3,3,3,…,3 with n-Partite Sets for All Even Integers n≥2," International Journal of Research and Scientific Innovation, International Journal of Research and Scientific Innovation (IJRSI), vol. 7(1), pages 141-142, January.
    • Handle: RePEc:bjc:journl:v:7:y:2020:i:1:p:141-142
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