## 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 υ for all υ ≡ 1 or 3, (mod 6), υ ≥ 2u + 1. However, some partial Steiner triple systems of order __u__ can be embedded in Steiner t
A proof of Lindner's conjecture on embeddings of partial Steiner triple systems
✍ Scribed by Darryn Bryant; Daniel Horsley
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 243 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1063-8539
No coin nor oath required. For personal study only.
✦ Synopsis
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. © 2008 Wiley Periodicals, Inc. J Combin Designs 17: 63–89, 2009
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