Balanced Steiner Triple Systems

Charles Colbourn, Lucien Haddad, Václav Linek

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

A coloring of a Steiner triple system is equitable if the cardinalities of the color classes differ by at most one. It is shown that, with the possible exceptions ofv∈{19, 21, 37, 49, 55, 57, 67, 69, 85, 109, 139}, there exists for allv≡1, 3 (mod 6) andv≥15, a 3-chromatic Steiner triple system of ordervall of whose 3-colorings are equitable.

Original languageEnglish (US)
Pages (from-to)292-302
Number of pages11
JournalJournal of Combinatorial Theory. Series A
Volume78
Issue number2
DOIs
StatePublished - May 1 1997
Externally publishedYes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics

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