The number of triangles covering the center of an n-set

E. Boros, Z. Füredi

Research output: Contribution to journalArticle

53 Scopus citations

Abstract

Let the points P1, P2, ..., Pnbe given in the plane such that there are no three on a line. Then there exists a point of the plane which is contained in at least n3/27 (open) PiPjPktriangles. This bound is the best possible.

Original languageEnglish (US)
Pages (from-to)69-77
Number of pages9
JournalGeometriae Dedicata
Volume17
Issue number1
DOIs
StatePublished - Oct 1984
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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