Guarding orthogonal art galleries with sliding cameras

Matthew J. Katz, Gila Morgenstern

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

We study the problem of guarding an orthogonal art gallery with security cameras sliding back and forth along straight tracks. We show that if only vertical (alternatively, horizontal) tracks are allowed, then a solution minimizing the number of tracks can be found in polynomial time, and if both orientations are allowed, then a 2-approximation can be found in polynomial time for x-monotone galleries.

Original languageEnglish
Pages (from-to)241-250
Number of pages10
JournalInternational Journal of Computational Geometry and Applications
Volume21
Issue number2
DOIs
StatePublished - 1 Apr 2011

Keywords

  • Art-gallery
  • link distance
  • mobile guards
  • orthogonal polygons
  • perfect graphs

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