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Ars Combinatoria

  • Research article

A Note on \(2\)-Subset-Regular Self-Complementary \(3\)-Uniform Hypergraphs

Martin Knor1, Primoz Potoénik2
1Department of Mathematics, Faculty of Civil Engineering, Slovak University of Tech- nology, Radlinského 11, 813 68 Bratislava, Slovakia,
2Paculty of Mathematics and Physics, University of Ljubljana, Slovenia, AND Institute of Mathematics, Physics, and Mechanics, Jadranska 19, SI-1000 Ljubljana, Slovenia, primoz,
  • Published: 31/07/2013

Abstract

We show that a \(2\)-subset-regular self-complementary \(3\)-uniform hypergraph with \(7\) vertices exists if and only if \(n \geq 6\) and \(n\) is congruent to \(2\) modulo \(4\).

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Citation
Martin Knor, Primoz Potoénik. A Note on \(2\)-Subset-Regular Self-Complementary \(3\)-Uniform Hypergraphs[J], Ars Combinatoria, Volume 111. 33-36. .