Edge-coloured designs with block size four

Charles J. Colbourn, Douglas R. Stinson

Research output: Contribution to journalArticle

23 Scopus citations

Abstract

The existence of edge-coloured block designs with block size four is studied for all nonisomorphic colourings of the edges of a K4. There are 25 nonisomorphic edge-coloured K4's; for each, we examine the existence of edge-coloured designs with the minimum possible index. Uniform cases lead to block designs, perpendicular arrays, nested Steiner triple systems, idempotent Schroeder quasigroups, and other combinatorial objects.

Original languageEnglish (US)
Pages (from-to)230-245
Number of pages16
JournalAequationes Mathematicae
Volume36
Issue number2-3
DOIs
StatePublished - Jun 1 1988
Externally publishedYes

Keywords

  • AMS (1980) subject classification: Primary 05B30

ASJC Scopus subject areas

  • Mathematics(all)
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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