Geodesic
Gregarious Kite Factorization of Tensor Product of Complete Graphs
Discussiones Mathematicae. Graph Theory, Tome 40 (2020) no. 1, pp. 7-24

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A kite factorization of a multipartite graph is said to be gregarious if every kite in the factorization has all its vertices in different partite sets. In this paper, we show that there exists a gregarious kite factorization of Km × Kn if and only if mn ≡ 0 (mod 4) and (m − 1)(n − 1) ≡ 0 (mod 2), where × denotes the tensor product of graphs.
Keywords: tensor product, kite, decomposition, gregarious factor, factorization 
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     author = {Tamil Elakkiya, A. and Muthusamy, A.},
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Tamil Elakkiya, A.; Muthusamy, A. Gregarious Kite Factorization of Tensor Product of Complete Graphs. Discussiones Mathematicae. Graph Theory, Tome 40 (2020) no. 1, pp. 7-24. http://geodesic.mathdoc.fr/item/DMGT_2020_40_1_a0/