Equitable embeddings of Steiner triple systems

Charles Colbourn, Lucien Haddad, Václav Linek

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

Using an embedding result for pairwise balanced designs, and colourings of small systems, tripling constructions are used to produce equitably coloured Steiner triple systems. It is shown that when the order is υ is large enough with respect to the number r of colours, and υ ≡ 1, 3 (mod 6), an equitably r-coloured r-chromatic Steiner triple system of order υ exists.

Original languageEnglish (US)
Pages (from-to)229-247
Number of pages19
JournalJournal of Combinatorial Theory. Series A
Volume73
Issue number2
DOIs
StatePublished - Jan 1 1996
Externally publishedYes

ASJC Scopus subject areas

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

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