Hostname: page-component-745bb68f8f-d8cs5 Total loading time: 0 Render date: 2025-02-11T07:13:32.976Z Has data issue: false hasContentIssue false

On the Number of Incidences Between Points and Curves

Published online by Cambridge University Press:  01 March 1998

JÁNOS PACH
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA; and Department of Computer Science, City College, CUNY, New York, NY, USA (e-mail: pach@cims6.cims.nyu.edu)
MICHA SHARIR
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA; and School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel (e-mail: sharir@math.tau.ac.il)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We apply an idea of Székely to prove a general upper bound on the number of incidences between a set of m points and a set of n ‘well-behaved’ curves in the plane.

Type
Research Article
Copyright
1998 Cambridge University Press