Abstract
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 language | English |
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Pages (from-to) | 149-157 |
Number of pages | 9 |
Journal | Discrete Applied Mathematics |
Volume | 50 |
Issue number | 2 |
DOIs | |
State | Published - 6 May 1994 |
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics