A conjecture on small embeddings of partial Steiner triple systems

Bryant, D (2002) A conjecture on small embeddings of partial Steiner triple systems. Journal of Combinatorial Designs, 10 5: 313-321. doi:10.1002/jcd.10017


Author Bryant, D
Title A conjecture on small embeddings of partial Steiner triple systems
Journal name Journal of Combinatorial Designs   Check publisher's open access policy
ISSN 1063-8539
Publication date 2002-01-01
Sub-type Article (original research)
DOI 10.1002/jcd.10017
Volume 10
Issue 5
Start page 313
End page 321
Total pages 9
Editor C. Colbourn
Place of publication United States
Publisher John Wiley & Sons, Inc.
Language eng
Subject C1
230101 Mathematical Logic, Set Theory, Lattices And Combinatorics
780101 Mathematical sciences
Abstract A well-known, and unresolved, conjecture states that every partial Steiner triple system of order u can be embedded in a Steiner triple system of order v for all v equivalent to 1 or 3 (mod 6), v greater than or equal to 2u + 1. However, some partial Steiner triple systems of order u can be embedded in Steiner triple systems of order v < 2u + 1. A more general conjecture that considers these small embeddings is presented and verified for some cases. (C) 2002 Wiley Periodicals, Inc.
Keyword Mathematics
Embeddings
Partial Triple Systems
Steiner Triple Systems
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collections: Excellence in Research Australia (ERA) - Collection
School of Physical Sciences Publications
 
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Created: Wed, 15 Aug 2007, 03:34:29 EST