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.
Format:	Article
Published:	University of Queensland Press 2015
Subjects:	Discrete Mathematics and Combinatorics
Online Access:	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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Institution:	Chiang Mai University

id	th-cmuir.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
_version_	1681421556541030400

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

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