Triple systems not containing a fano configuration

Research output: Contribution to journalArticle

45 Citations (Scopus)

Abstract

A Fano configuration is the hypergraph of 7 vertices and 7 triplets defined by the points and lines of the finite projective plane of order 2. Proving a conjecture of T. Sós, the largest triple system on n vertices containing no Fano configuration is determined (for n > n1). It is 2-chromatic with (n3) - ([n/2]3) - ([n/2]3) triples. This is one of the very few nontrivial exact results for hypergraph extremal problems.

Original languageEnglish
Pages (from-to)467-484
Number of pages18
JournalCombinatorics Probability and Computing
Volume14
Issue number4
DOIs
Publication statusPublished - Jul 2005

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Triple System
Hypergraph
Finite projective plane
Configuration
Extremal Problems
Exact Results
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ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computational Theory and Mathematics
  • Mathematics(all)
  • Discrete Mathematics and Combinatorics
  • Statistics and Probability

Cite this

Triple systems not containing a fano configuration. / Füredi, Z.; Simonovits, M.

In: Combinatorics Probability and Computing, Vol. 14, No. 4, 07.2005, p. 467-484.

Research output: Contribution to journalArticle

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