Davenport-Schinzel theory of matrices

Zoltán Füredi, Péter Hajnal

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67 Citations (Scopus)

Abstract

Let C be a configuration of 1's. We define f(n;C) to be the maximal number of 1's in a 0-1 matrix of size n × n not having C as a subconfiguration. We consider the problem of determining the order of f(n;C) for several forbidden C's. Among other results we prove that f(n;1111) = Θ(α(n)n), where α(n) is the inverse of the Ackermann function.

Original languageEnglish
Pages (from-to)233-251
Number of pages19
JournalDiscrete Mathematics
Volume103
Issue number3
DOIs
Publication statusPublished - May 28 1992

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ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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