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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spelling th-cmuir.6653943832-388962015-06-16T07:54:32Z Decompositions of complete 3-uniform hypergraphs into small 3-uniform hypergraphs Bryant,D.E. Herke,S. Maenhaut,B.M. Wannasit,W. Discrete Mathematics and Combinatorics © 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. 2015-06-16T07:54:32Z 2015-06-16T07:54:32Z 2014-01-01 Article 10344942 2-s2.0-84923608913 http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84923608913&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38896 University of Queensland Press
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Discrete Mathematics and Combinatorics
spellingShingle Discrete Mathematics and Combinatorics
Bryant,D.E.
Herke,S.
Maenhaut,B.M.
Wannasit,W.
Decompositions of complete 3-uniform hypergraphs into small 3-uniform hypergraphs
description © 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.
format Article
author Bryant,D.E.
Herke,S.
Maenhaut,B.M.
Wannasit,W.
author_facet Bryant,D.E.
Herke,S.
Maenhaut,B.M.
Wannasit,W.
author_sort Bryant,D.E.
title Decompositions of complete 3-uniform hypergraphs into small 3-uniform hypergraphs
title_short Decompositions of complete 3-uniform hypergraphs into small 3-uniform hypergraphs
title_full Decompositions of complete 3-uniform hypergraphs into small 3-uniform hypergraphs
title_fullStr Decompositions of complete 3-uniform hypergraphs into small 3-uniform hypergraphs
title_full_unstemmed Decompositions of complete 3-uniform hypergraphs into small 3-uniform hypergraphs
title_sort decompositions of complete 3-uniform hypergraphs into small 3-uniform hypergraphs
publisher University of Queensland Press
publishDate 2015
url http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84923608913&origin=inward
http://cmuir.cmu.ac.th/handle/6653943832/38896
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