Anti-mitre steiner triple systems

Charles J. Colbourn, Eric Mendelsohn, Alexander Rosa, Jozef Širáň

Research output: Contribution to journalArticle

29 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)215-224
Number of pages10
JournalGraphs and Combinatorics
Volume10
Issue number2
DOIs
StatePublished - Jun 1994
Externally publishedYes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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    Colbourn, C. J., Mendelsohn, E., Rosa, A., & Širáň, J. (1994). Anti-mitre steiner triple systems. Graphs and Combinatorics, 10(2), 215-224. https://doi.org/10.1007/BF02986668