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Ars Combinatoria

  • Research article

A Doubling Construction for Overlarge Sets of Steiner Triple Systems

Martin J. Sharry1, Anne Penfold Street1
1 Centre for Combinatorics, Department of Mathematics The University of Queensland, Queensland 4072, AUSTRALIA
  • Published: 31/12/1991

Abstract

Given an overlarge set of Steiner triple systems, each on \(v\) points, we construct an overlarge set of Steiner triple systems, each on \(2v+1\) points. Overlarge sets with specified properties can be constructed in this way; in particular, we construct overlarge sets which cannot be derived from Steiner quadruple systems.

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Citation
Martin J. Sharry, Anne Penfold Street. A Doubling Construction for Overlarge Sets of Steiner Triple Systems[J], Ars Combinatoria, Volume 032. 143-151. .