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APPROX
2005
Springer
150views Algorithms» more  APPROX 2005»
14 years 1 months ago
A Primal-Dual Approximation Algorithm for Partial Vertex Cover: Making Educated Guesses
We study the partial vertex cover problem. Given a graph G = (V, E), a weight function w : V → R+ , and an integer s, our goal is to cover all but s edges, by picking a set of v...
Julián Mestre
ANTSW
2006
Springer
13 years 11 months ago
Kernelization as Heuristic Structure for the Vertex Cover Problem
Abstract. For solving combinatorial optimisation problems, exact methods accurately exploit the structure of the problem but are tractable only up to a certain size; approximation ...
Stephen Gilmour, Mark Dras
CORR
2006
Springer
160views Education» more  CORR 2006»
13 years 7 months ago
Frugality ratios and improved truthful mechanisms for vertex cover
In set-system auctions, there are several overlapping teams of agents, and a task that can be completed by any of these teams. The auctioneer's goal is to hire a team and pay...
Edith Elkind, Leslie Ann Goldberg, Paul W. Goldber...
CORR
2011
Springer
268views Education» more  CORR 2011»
12 years 11 months ago
Approximation Algorithms for Submodular Multiway Partition
Abstract— We study algorithms for the SUBMODULAR MULTIWAY PARTITION problem (SUB-MP). An instance of SUB-MP consists of a finite ground set V , a subset S = {s1, s2, . . . , sk}...
Chandra Chekuri, Alina Ene
ESA
2003
Springer
189views Algorithms» more  ESA 2003»
14 years 22 days 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