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Approximation algorithm
Known as:
Absolute performance guarantee
, Ρ-approximation algorithm
, Relative performance guarantee
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In computer science and operations research, approximation algorithms are algorithms used to find approximate solutions to optimization problems…
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Related topics
Related topics
50 relations
APX
Angelika Steger
Approximate max-flow min-cut theorem
Approximation-preserving reduction
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2006
Highly Cited
2006
Dependent rounding and its applications to approximation algorithms
R. Gandhi
,
S. Khuller
,
S. Parthasarathy
,
A. Srinivasan
JACM
2006
Corpus ID: 9141341
We develop a new randomized rounding approach for fractional vectors defined on the edge-sets of bipartite graphs. We show…
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Highly Cited
2005
Highly Cited
2005
Improved Approximation Algorithms for Geometric Set Cover
K. Clarkson
,
Kasturi R. Varadarajan
Discrete & Computational Geometry
2005
Corpus ID: 2778234
Given a collection S of subsets of some set ${\Bbb U},$ and ${\Bbb M}\subset{\Bbb U},$ the set cover problem is to find the…
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Highly Cited
2001
Highly Cited
2001
Approximation algorithms for metric facility location and k-Median problems using the primal-dual schema and Lagrangian relaxation
K. Jain
,
V. Vazirani
JACM
2001
Corpus ID: 2353092
We present approximation algorithms for the metric uncapacitated facility location problem and the metric <italic>k</italic…
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Highly Cited
1999
Highly Cited
1999
A constant-factor approximation algorithm for the k-median problem (extended abstract)
M. Charikar
,
S. Guha
,
É. Tardos
,
D. Shmoys
Symposium on the Theory of Computing
1999
Corpus ID: 10836574
We present the first constant-factor approximation algorithm for the metric k-median problem. The k-median problem is one of the…
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Highly Cited
1999
Highly Cited
1999
Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms
F. Leighton
,
Satish Rao
JACM
1999
Corpus ID: 18527968
In this paper, we establish max-flow min-cut theorems for several important classes of multicommodity flow problems. In…
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Highly Cited
1997
Highly Cited
1997
Stochastic Approximation Algorithms and Applications
H. Kushner
,
G. Yin
Applied Mathematics
1997
Corpus ID: 125672439
Applications and issues application to learning, state dependent noise and queueing applications to signal processing and…
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Highly Cited
1997
Highly Cited
1997
Scheduling to Minimize Average Completion Time: Off-Line and On-Line Approximation Algorithms
Leslie A. Hall
,
Andreas S. Schulz
,
D. Shmoys
,
J. Wein
Mathematics of Operations Research
1997
Corpus ID: 16163107
In this paper we introduce two general techniques for the design and analysis of approximation algorithms for NP-hard scheduling…
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Highly Cited
1993
Highly Cited
1993
An 11/6-approximation algorithm for the network steiner problem
A. Zelikovsky
Algorithmica
1993
Corpus ID: 26599137
An instance of the Network Steiner Problem consists of an undirected graph with edge lengths and a subset of vertices; the goal…
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Highly Cited
1991
Highly Cited
1991
Fast approximation algorithms for multicommodity flow problems
F. Leighton
,
F. Makedon
,
Serge A. Plotkin
,
C. Stein
,
É. Tardos
,
S. Tragoudas
Symposium on the Theory of Computing
1991
Corpus ID: 1027138
All previously known algorithms for solving the multicommodity flow problem with capacities are based on linear programming. The…
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Highly Cited
1986
Highly Cited
1986
A unified approach to approximation algorithms for bottleneck problems
D. Hochbaum
,
D. Shmoys
JACM
1986
Corpus ID: 17975253
In this paper a powerful, and yet simple, technique for devising approximation algorithms for a wide variety of NP-complete…
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