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Anti-mitre steiner triple systems

Authors :
Colbourn, Charles J.
Mendelsohn, Eric
Rosa, Alexander
Širáň, Jozef
Source :
Graphs and Combinatorics; June 1994, Vol. 10 Issue: 2-4 p215-224, 10p
Publication Year :
1994

Abstract

A mitre in a Steiner triple system is a set of five triples on seven points, in which two are disjoint. Recursive constructions for Steiner triple systems containing no mitre are developed, leading to such anti-mitre systems for at least 9/16 of the admissible orders. Computational results for small cyclic Steiner triple systems are also included.

Details

Language :
English
ISSN :
09110119 and 14355914
Volume :
10
Issue :
2-4
Database :
Supplemental Index
Journal :
Graphs and Combinatorics
Publication Type :
Periodical
Accession number :
ejs62538301
Full Text :
https://doi.org/10.1007/BF02986668