Title
NP-Completeness of Stage Illumination Problems
Abstract
The stage illumination problem presented by Urrutia in 1992 is one of illumination problems, which uses floodlights for illuminating a stage. The problem asks whether or not it is possible to rotate given floodlights around their apexes so as to obtain a final configuration such that a given stage is completely illuminated. The problem for finding a polynomial time algorithm for this problem or proving NP-hardness of this problem was open. This paper shows that it is NP-complete even with some restrictions.
Year
DOI
Venue
1998
10.1007/978-3-540-46515-7_12
JCDCG
Keywords
Field
DocType
stage illumination problems
Discrete mathematics,Rotation,Computer science,Illumination problem,Algorithm,Problem complexity,Time complexity,Completeness (statistics)
Conference
Volume
ISSN
ISBN
1763
0302-9743
3-540-67181-1
Citations 
PageRank 
References 
5
0.82
1
Authors
3
Name
Order
Citations
PageRank
Hiro Ito129039.95
Hideyuki Uehara25412.14
Mitsuo Yokoyama3669.51