Embeddings of Steiner Quadruple Systems

W.J. Liu, Chester; R.Wild, Peter

Abstract

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Ars Combinatoria

Volume 065
Pages: 245-250

Research article

Embeddings of Steiner Quadruple Systems

^¹, ^²

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

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Abstract

We generalize a construction by Treash of a Steiner triple system on $2 v + 1$ 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 $2 v + 2$ points.

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Ars Combinatoria

Embeddings of Steiner Quadruple Systems

Abstract

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