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» On Some Polyhedra Covering Problems
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ESA
2003
Springer
189views Algorithms» more  ESA 2003»
14 years 2 months ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz
CCCG
2007
13 years 10 months ago
Generalized Watchman Route Problem with Discrete View Cost
In this paper, we introduce a generalized version of the Watchman Route Problem (WRP) where the objective is to plan a continuous closed route in a polygon (possibly with holes) a...
Pengpeng Wang, Ramesh Krishnamurti, Kamal Gupta
PKDD
2007
Springer
107views Data Mining» more  PKDD 2007»
14 years 2 months ago
An Empirical Comparison of Exact Nearest Neighbour Algorithms
Nearest neighbour search (NNS) is an old problem that is of practical importance in a number of fields. It involves finding, for a given point q, called the query, one or more po...
Ashraf M. Kibriya, Eibe Frank
WALCOM
2007
IEEE
151views Algorithms» more  WALCOM 2007»
13 years 10 months ago
Base Station Placement Problem on the Boundary of a Convex Region
Due to the recent growth in the demand of mobile communication services in several typical environments, the development of efficient systems for providing specialized services ha...
Gautam K. Das, Sasanka Roy, Sandip Das, Subhas C. ...
COMPGEOM
2009
ACM
14 years 3 months ago
Epsilon nets and union complexity
We consider the following combinatorial problem: given a set of n objects (for example, disks in the plane, triangles), and an integer L ≥ 1, what is the size of the smallest su...
Kasturi R. Varadarajan