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A SOLUTION FOR THE EMBEDDING PROBLEM FOR PARTIAL TRANSITIVE TRIPLE SYSTEMS

Published online by Cambridge University Press:  01 May 1997

C. A. RODGER
C. A. RODGER
Affiliation:
Department of Discrete and Statistical Sciences, 120 Math Annex, Auburn University, AL 36849-5307, USA
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Abstract

In this paper we solve the embedding problem for partial transitive triple systems of order n and index λ, partial TTS (n, λ) s, showing that any partial TTS (n, λ) can be embedded in a TTS (v, λ) for all λ-admissible v[ges ]2n+1. This lower bound on v is the best possible. A simple proof is also given of a result of Colbourn and Harms which shows that every partial triple system of order n and index 2λ is the underlying triple system of a partial TTS (n, λ).

Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 29 , Issue 3 , May 1997 , pp. 299 - 302
Copyright
© The London Mathematical Society 1997

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