Graphs without quadrilaterals

Research output: Contribution to journalArticle

51 Citations (Scopus)

Abstract

Let f(n) denote the maximum number of edges of a graph on n vertices not containing a circuit of length 4. It is well known that f(n) ∼ 1 2n n. The old conjecture f(q2 + q + 1) = 1 2q(q + 1)2 is proved for infinitely many q (whenever q = 2k).

Original languageEnglish
Pages (from-to)187-190
Number of pages4
JournalJournal of Combinatorial Theory, Series B
Volume34
Issue number2
DOIs
Publication statusPublished - Apr 1983

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics

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