On disjoint concave chains in arrangements of (pseudo) lines

Dan Halperin*, Micha Sharir

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

In the paper mentioned in the title [1] we have asserted that the maximum number of edges of m pairwise-disjoint x-monotone concave polygonal chains, contained in the union of n lines or pseudo lines, is Θ(m2/3n2/3+n). While the assertion is correct, the analysis of [1] was incomplete, and hence erroneous. In this note we complete the analysis and thus obtain a correct proof of the assertion.

Original languageEnglish
Pages (from-to)53-56
Number of pages4
JournalInformation Processing Letters
Volume51
Issue number1
DOIs
StatePublished - 12 Jul 1994

Keywords

  • Arrangements
  • Computational geometry
  • Polygonal chains

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