Guarding rectangular art galleries

J. Czyzowicz, E. Rivera-Campo, N. Santoro, J. Urrutia, J. Zaks

Research output: Contribution to journalArticlepeer-review


Consider a rectangular art gallery divide into n rectangular rooms, such that any two rooms sharing a wall in common have a door connecting them. How many guards need to be stationed in the gallery so as to protect all of the rooms in our gallery? Note that of a guard is stationed at a door, he will be able to guard two rooms. Our main aim in this paper is to show that ⌈n/2⌉ guards are always sufficient to protect all rooms in a rectangular art gallery. Extensions of our result are obtained for non-rectangular galleries and for 3-dimensional art galleries.

Original languageEnglish
Pages (from-to)149-157
Number of pages9
JournalDiscrete Applied Mathematics
Issue number2
StatePublished - 6 May 1994

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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