Decompositions of the 3-uniform hypergraphs K(3)v into hypergraphs of a certain type |
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Authors: | Tao FENG Yan-xun CHANG |
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Institution: | Institute of Mathematics, Beijing Jiaotong University, Beijing 100044, China |
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Abstract: | In this paper, we investigate a generalization of graph decomposition, called hypergraph decomposition. We show that a decomposition of a 3-uniform hypergraph K(3)v into a special kind of hypergraph K(3)4 - e exists if and only if v ≡ 0, 1, 2 (mod 9) and v ≥ 9. |
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Keywords: | hypergraph decomposition t-GDD group divisible (г t)-design candelabra (г t)-system |
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