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» A Better Approximation Ratio for the Vertex Cover Problem
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COCOA
2008
Springer
13 years 9 months ago
Polynomial Time Approximation Scheme for Connected Vertex Cover in Unit Disk Graph
Connected Vertex Cover Problem (CVC) is an NP-hard problem. The currently best known approximation algorithm for CVC has performance ration 2. This paper gives the first Polynomial...
Zhao Zhang, Xiaofeng Gao, Weili Wu
FOCS
2002
IEEE
14 years 12 days ago
Covering Problems with Hard Capacities
We consider the classical vertex cover and set cover problems with the addition of hard capacity constraints. This means that a set (vertex) can only cover a limited number of its...
Julia Chuzhoy, Joseph Naor
JAL
2006
175views more  JAL 2006»
13 years 7 months ago
Approximations for minimum and min-max vehicle routing problems
: We consider a variety of vehicle routing problems. The input to a problem consists of a graph G = (N, E) and edge lengths l(e) e E. Customers located at the vertices have to be ...
Esther M. Arkin, Refael Hassin, Asaf Levin
WADS
2007
Springer
184views Algorithms» more  WADS 2007»
14 years 1 months ago
A Pseudopolynomial Time O (log n )-Approximation Algorithm for Art Gallery Problems
In this paper, we give a O(log copt)-approximation algorithm for the point guard problem where copt is the optimal number of guards. Our algorithm runs in time polynomial in n, the...
Ajay Deshpande, Taejung Kim, Erik D. Demaine, Sanj...
STOC
2002
ACM
91views Algorithms» more  STOC 2002»
14 years 7 months ago
The importance of being biased
The Minimum Vertex Cover problem is the problem of, given a graph, finding a smallest set of vertices that touches all edges. We show that it is NP-hard to approximate this proble...
Irit Dinur, Shmuel Safra