Support sizes of sixfold triple systems

Charles Colbourn, Ebadollah S. Mahmoodian

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The support size of a triple system is the number of distinct triples appearing in it. We essentially determine the possible support sizes for triple systems with index six, leaving only one value in doubt for each order v≡8 (mod 12); in the process, we establish strong necessary conditions on the spectrum of support sizes for triple systems with any index λ ≤ 0.

Original languageEnglish (US)
Pages (from-to)103-131
Number of pages29
JournalDiscrete Mathematics
Volume115
Issue number1-3
DOIs
StatePublished - May 15 1993
Externally publishedYes

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Triple System
Distinct
Necessary Conditions

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Theoretical Computer Science

Cite this

Support sizes of sixfold triple systems. / Colbourn, Charles; Mahmoodian, Ebadollah S.

In: Discrete Mathematics, Vol. 115, No. 1-3, 15.05.1993, p. 103-131.

Research output: Contribution to journalArticle

Colbourn, Charles ; Mahmoodian, Ebadollah S. / Support sizes of sixfold triple systems. In: Discrete Mathematics. 1993 ; Vol. 115, No. 1-3. pp. 103-131.
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