The fine structure of threefold triple systems: υ ≡ 1 or 3 (mod 6)

Charles J. Colbourn, Rudolf A. Mathon, Alexander Rosa, Nabil Shalaby

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

The fine structure of a triple system of index λ is the vector (c1, ..., cλ), where c1 is the number of triples appearing precisely i times in the system. We determine necessary conditions for a vector to be the fine structure of a threefold triple system and prove the sufficiency of these conditions for all υ ≡ 1, 3 (mod 6), υ ≥ 19.

Original languageEnglish (US)
Pages (from-to)49-64
Number of pages16
JournalDiscrete Mathematics
Volume92
Issue number1-3
DOIs
StatePublished - Nov 17 1991
Externally publishedYes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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