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Embedding Partial Steiner Triple Systems

โœ Scribed by Andersen, L. D.; Hilton, A. J. W.; Mendelsohn, E.

Book ID
120101355
Publisher
Oxford University Press
Year
1980
Tongue
English
Weight
432 KB
Volume
s3-41
Category
Article
ISSN
0024-6115

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๐Ÿ“œ SIMILAR VOLUMES

Embedding partial Steiner triple systems
Embedding partial Steiner triple systems so that their automorphisms extend
โœ Peter J. Cameron ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 71 KB

It is shown that there is a function g on the natural numbers such that a partial Steiner triple system U on u points can be embedded in a Steiner triple system V on v v v points, in such a way that all automorphisms of U can be extended to V, for every admissible v v v satisfying v v v > gรฐuรž. We f

A conjecture on small embeddings of part
A conjecture on small embeddings of partial Steiner triple systems
โœ Darryn Bryant ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 106 KB ๐Ÿ‘ 1 views

## Abstract A wellโ€known, and unresolved, conjecture states that every partial Steiner triple system of order __u__ can be embedded in a Steiner triple system of order ฯ… for all ฯ…โ€‰โ‰ก 1 or 3, (mod 6), ฯ…โ€‰โ‰ฅโ€‰2uโ€‰+โ€‰1. However, some partial Steiner triple systems of order __u__ can be embedded in Steiner t

A proof of Lindner's conjecture on embed
A proof of Lindner's conjecture on embeddings of partial Steiner triple systems
โœ Darryn Bryant; Daniel Horsley ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 243 KB ๐Ÿ‘ 1 views

## Abstract Lindner's conjecture that any partial Steiner triple system of order __u__ can be embedded in a Steiner triple system of order __v__ if $v\equiv 1,3 \; ({\rm mod}\; 6)$ and $v\geq 2u+1$ is proved. ยฉ 2008 Wiley Periodicals, Inc. J Combin Designs 17: 63โ€“89, 2009