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Decompositions of the 3-uniform hypergraphs K(3)v into hypergraphs of a certain type
Authors:Tao FENG  Yan-xun CHANG
Institution:Institute of Mathematics, Beijing Jiaotong University, Beijing 100044, China
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.
Keywords:hypergraph decomposition  t-GDD  group divisible (г  t)-design  candelabra (г  t)-system
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