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

نویسندگان

  • Darryn E. Bryant
  • Sarada Herke
  • Barbara M. Maenhaut
  • Wannasiri Wannasit
چکیده

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. D. BRYANT ET AL. /AUSTRALAS. J. COMBIN. 60 (2) (2014), 227–254 228

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 60  شماره 

صفحات  -

تاریخ انتشار 2014