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A proof of Lindner's conjecture on embeddings of partial Steiner triple systems
Author(s) -
Bryant Darryn,
Horsley Daniel
Publication year - 2009
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.20189
Subject(s) - mathematics , steiner system , conjecture , combinatorics , order (exchange) , discrete mathematics , economics , finance
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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