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Decomposition of lambda K-nu into kites and 4-cycles

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Milici, Salvatore

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Given a collection of graphs H, an H-decomposition of λkv is a decomposition of the edges of λKv into isomorphic copies of graphs in Ti. A kite is a triangle with a tail consisting of a single edge. In this paper we investigate the decomposition problem when H is the set containing a kite and a 4-cycle, that is; this paper gives a complete solution to the problem of decomposing λKv into r kites and s 4-cycles for every admissible values of v, λ, r and s.

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Charles Babbage Research Centre

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Mathematics

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Ars Combinatoria

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