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» The Complexity of Guarding Terrains
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ESA
2008
Springer
97views Algorithms» more  ESA 2008»
14 years 11 months ago
The Complexity of Bisectors and Voronoi Diagrams on Realistic Terrains
We prove tight bounds on the complexity of bisectors and Voronoi diagrams on so-called realistic terrains, under the geodesic distance. In particular, if n denotes the number of tr...
Boris Aronov, Mark de Berg, Shripad Thite
IWOCA
2009
Springer
112views Algorithms» more  IWOCA 2009»
15 years 2 months ago
The Guarding Problem - Complexity and Approximation
T. V. Thirumala Reddy, D. Sai Krishna, C. Pandu Ra...
COMPGEOM
2007
ACM
15 years 1 months ago
Guard placement for efficient point-in-polygon proofs
We consider the problem of placing a small number of angle guards inside a simple polygon P so as to provide efficient proofs that any given point is inside P. Each angle guard vi...
David Eppstein, Michael T. Goodrich, Nodari Sitchi...
CORR
2012
Springer
174views Education» more  CORR 2012»
13 years 5 months ago
Partial Searchlight Scheduling is Strongly PSPACE-complete
The problem of searching a polygonal region for an unpredictably moving intruder by a set of stationary guards, each carrying an orientable laser, is known as the Searchlight Sche...
Giovanni Viglietta