On Resolvable Multipartite G-Designs II |
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Authors: | MG Karunambigai A Muthusamy |
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Institution: | (1) Department of Mathematics, Vellalar College for Women, Erode, 638 009, Tamilnadu, India;(2) Department of Mathematics, Sri Vasavi College, Erode, 638 316, Tamilnadu, India |
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Abstract: | In this paper, it has been proved that and are factorable, where ⊗ denotes wreath product of graphs. As a consequence, a resolvable (k,n,k,2λ) multipartite –design exists for even k. These results generalize the results of Ushio on –factorizations of complete tripartite graphs. |
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Keywords: | Cycle-factorization Wreath product of graphs Complete symmetric k− partite multi-digraph Resolvable multipartite G -design |
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