A local density condition for triangles

P. Erdős, R. J. Faudree, C. C. Rousseau, R. H. Schelp

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

Let G be a graph on n vertices and let α and β be real numbers, 0 <α, β <1. Further, let G satisfy the condition that each ⌊αn⌋ subset of its vertex set spans at least βn2 edges. The following question is considered. For a fixed α what is the smallest value of β such that G contains a triangle?

Original languageEnglish
Pages (from-to)153-161
Number of pages9
JournalDiscrete Mathematics
Volume127
Issue number1-3
DOIs
Publication statusPublished - Mar 15 1994

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Triangle
Subset
Graph in graph theory
Vertex of a graph

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Theoretical Computer Science

Cite this

Erdős, P., Faudree, R. J., Rousseau, C. C., & Schelp, R. H. (1994). A local density condition for triangles. Discrete Mathematics, 127(1-3), 153-161. https://doi.org/10.1016/0012-365X(92)00474-6

A local density condition for triangles. / Erdős, P.; Faudree, R. J.; Rousseau, C. C.; Schelp, R. H.

In: Discrete Mathematics, Vol. 127, No. 1-3, 15.03.1994, p. 153-161.

Research output: Contribution to journalArticle

Erdős, P, Faudree, RJ, Rousseau, CC & Schelp, RH 1994, 'A local density condition for triangles', Discrete Mathematics, vol. 127, no. 1-3, pp. 153-161. https://doi.org/10.1016/0012-365X(92)00474-6
Erdős, P. ; Faudree, R. J. ; Rousseau, C. C. ; Schelp, R. H. / A local density condition for triangles. In: Discrete Mathematics. 1994 ; Vol. 127, No. 1-3. pp. 153-161.
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