Measures on monotone properties of graphs

Jòzsef Balogh, Béla Bollobás, David Weinreich

Research output: Contribution to journalArticlepeer-review


Given a monotone property P of graphs, write P n for the set of graphs with vertex set [n] having property P. Building on recent results in the enumeration of graphical properties, we prove numerous results about the structure of graphs in P n and the functions |P n|. We also examine the measure eP(n), the maximum number of edges in a graph of P n.

Original languageEnglish (US)
Pages (from-to)17-36
Number of pages20
JournalDiscrete Applied Mathematics
Issue number1-2
StatePublished - Jan 15 2002
Externally publishedYes


  • Extremal graph theory
  • Graph properties
  • Hereditary
  • Monotone
  • Size
  • Speed

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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