Decompositions of complete 3-uniform hypergraphs into small 3-uniform hypergraphs

© 2014, University of Queensland. All Rights Reserved. In this paper we consider the problem of determining all values of v for which there exists a decomposition of the complete 3-uniform hypergraph on v vertices into edge-disjoint copies of a given 3-uniform hypergraph. We solve the problem for ea...

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Main Authors: Bryant,D.E., Herke,S., Maenhaut,B.M., Wannasit,W.
格式: Article
出版: University of Queensland Press 2015
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http://cmuir.cmu.ac.th/handle/6653943832/38896
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總結:© 2014, University of Queensland. All Rights Reserved. In this paper we consider the problem of determining all values of v for which there exists a decomposition of the complete 3-uniform hypergraph on v vertices into edge-disjoint copies of a given 3-uniform hypergraph. We solve the problem for each 3-uniform hypergraph having at most three edges and at most six vertices, and for the 3-uniform hypergraph of order 6 whose edges form the lines of the Pasch configuration.