Asymptotic growth of sparse saturated structures is locally determined

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7 Citations (Scopus)


We introduce some new hypergraph invariants, called local density and local sparseness of a hypergraph F and prove that their values completely determine the order of magnitude of the smallest number of edges in a strongly or weakly F-saturated hypergraph on n vertices as n tends to infinity.

Original languageEnglish
Pages (from-to)397-402
Number of pages6
JournalDiscrete Mathematics
Issue number1-3
Publication statusPublished - Oct 28 1992

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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