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: | , , , |
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| Format: | Article |
| Published: |
University of Queensland Press
2015
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| Subjects: | |
| 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 |
| Summary: | © 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. |
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