Abstract

F. Harary, R.W. Robinson and N.C. Wormald studied a complete tripartite graph K(m, n, s), and putted forward the conjecture, for t|(mn + ms + ns), t > 1 and t is even, then G has a t isomorphic factorization subgraphs. For t divides mn + ms + ns and t = 2, 4, they obtained that then G has a t isomorphic factorization subgraphs. In this paper, we used the decomposition and Congruential method and obtained the conjecture is true for t = 20.

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