Sciweavers

COMGEO
2010
ACM

Floodlight illumination of infinite wedges

13 years 11 months ago
Floodlight illumination of infinite wedges
The floodlight illumination problem asks whether there exists a one-to-one placement of n floodlights illuminating infinite wedges of angles 1, . . . , n at n sites p1, . . . , pn in a plane such that a given infinite wedge W of angle located at point q is completely illuminated by the floodlights. We prove that this problem is NPhard, closing an open problem posed by Demaine and O'Rourke (CCCG 2001). In fact, we show that the problem is NP-complete even when i = for all 1 i n (the uniform case) and = n i=1 i (the tight case). Key words: illumination, art gallery problem, floodlights, NP-completeness
Matthew Cary, Atri Rudra, Ashish Sabharwal, Erik V
Related Content
Added 09 Dec 2010
Updated 09 Dec 2010
Type Journal
Year 2010
Where COMGEO
Authors Matthew Cary, Atri Rudra, Ashish Sabharwal, Erik Vee
Comments (0)