The Spectrum of Balanced P^(3)(1, 5)-Designs

Authors

  • Paola Bonacini Università di Catania, Italy
  • Maria Di Giovanni
  • Mario Gionfriddo
  • Lucia Marino Università di Catania
  • Antoinette Tripodi

DOI:

https://doi.org/10.11575/cdm.v12i1.62743

Keywords:

Designs-Hypergraphs-VertexBalance

Abstract

Given a 3-uniform hypergraph H(3), an H(3)-decomposition of the complete hypergraph K(3)_v is a collection of hypergraphs, all isomorphic to H(3), whose edge sets partition the edge set of K(3)_v. An H(3)-decomposition of K(3)_v is also called an H(3)-design and the hypergraphs of the partition are said to be the blocks. An H(3)-design is said to be balanced if the number of blocks containing any given vertex of K(3)_v is a constant. In this paper, we determine completely, without exceptions, the spectrum of balanced P(3)(1 5)-designs.

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Published

2017-09-27

Issue

Vol. 12 No. 1 (2017)

Section

Articles

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