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COMGEO
2002
ACM
13 years 8 months ago
Quadtree, ray shooting and approximate minimum weight Steiner triangulation
We present a quadtree-based decomposition of the interior of a polygon with holes. The complete decomposition yields a constant factor approximation of the minimum weight Steiner ...
Siu-Wing Cheng, Kam-Hing Lee
ESA
2003
Springer
189views Algorithms» more  ESA 2003»
14 years 1 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
APPROX
2004
Springer
122views Algorithms» more  APPROX 2004»
14 years 2 months ago
Maximum Coverage Problem with Group Budget Constraints and Applications
We study a variant of the maximum coverage problem which we label the maximum coverage problem with group budget constraints (MCG). We are given a collection of sets S = {S1, S2, ....
Chandra Chekuri, Amit Kumar
AAIM
2010
Springer
155views Algorithms» more  AAIM 2010»
13 years 11 months ago
The (K, k)-Capacitated Spanning Tree Problem
Abstract. This paper considers a generalization of the capacitated spanning tree, in which some of the nodes have capacity K, and the others have capacity k < K. We prove that t...
Esther M. Arkin, Nili Guttmann-Beck, Refael Hassin
APPROX
2009
Springer
149views Algorithms» more  APPROX 2009»
14 years 3 months ago
On the Complexity of the Asymmetric VPN Problem
We give the first constant factor approximation algorithm for the asymmetric Virtual Private Network (Vpn) problem with arbitrary concave costs. We even show the stronger result, ...
Thomas Rothvoß, Laura Sanità