On disjoint concave chains in arrangements of (pseudo) lines

Dan Halperin*, Micha Sharir

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We show that the maximum number of edges of m pairwise-disjoint x-monotone concave polygonal chains contained in the union of n lines is Θ(m 2 3n 2 3+n). The notion of a concave chain is extended to the case of pseudo l ines and the result is proven in this more general setting.

Original languageEnglish
Pages (from-to)189-192
Number of pages4
JournalInformation Processing Letters
Volume40
Issue number4
DOIs
StatePublished - 25 Nov 1991

Keywords

  • Computational geometry
  • arrangements
  • polygonal chains

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