Contents

Ars Combinatoria

  • Research article

Embeddings of Steiner Quadruple Systems

Chester W.J. Liu1, Peter R.Wild2
1 Department of Mathematics, Royal Holloway, University of London, Egham Hill, Egham, Surrey, TW20 0EX, UK
2Department of Mathematics, Royal Holloway, University of London, Egham Hill, Egham, Surrey, TW20 VEX, UK
  • Published: 31/10/2002

Abstract

We generalize a construction by Treash of a Steiner triple system on \(2v+1\) points that embeds a Steiner triple system on \(v\) points. We show that any Steiner quadruple system on \(v+1\) points may be embedded in a Steiner quadruple system on \(2v+2\) points.

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Citation
Chester W.J. Liu, Peter R.Wild. Embeddings of Steiner Quadruple Systems[J], Ars Combinatoria, Volume 065. 245-250. .