Steiner Triple Systems Without Parallel Classes

Bryant, Darryn and Horsley, Daniel (2015) Steiner Triple Systems Without Parallel Classes. Siam Journal On Discrete Mathematics, 29 1: 693-696. doi:10.1137/140996999

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Author Bryant, Darryn
Horsley, Daniel
Title Steiner Triple Systems Without Parallel Classes
Journal name Siam Journal On Discrete Mathematics   Check publisher's open access policy
ISSN 0895-4801
Publication date 2015-01
Year available 2015
Sub-type Article (original research)
DOI 10.1137/140996999
Open Access Status File (Publisher version)
Volume 29
Issue 1
Start page 693
End page 696
Total pages 4
Place of publication Philadelphia, PA, United States
Publisher Society for Industrial and Applied Mathematics
Collection year 2016
Language eng
Formatted abstract
We construct Steiner triple systems without parallel classes for an infinite number of orders congruent to $3 \:({mod}\ 6) $. The only previously known examples have order 15 or 21.

Keyword Steiner triple system
Block designs
Parallel class
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2016 Collection
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 0 times in Thomson Reuters Web of Science Article
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Created: Sun, 03 May 2015, 01:46:44 EST by System User on behalf of School of Mathematics & Physics