A unified approach to approximation algorithms for bottleneck problems
Journal of the ACM (JACM)
A simple parallel algorithm for the maximal independent set problem
SIAM Journal on Computing
SIAM Journal on Computing
Introduction to parallel algorithms and architectures: array, trees, hypercubes
Introduction to parallel algorithms and architectures: array, trees, hypercubes
An introduction to parallel algorithms
An introduction to parallel algorithms
A parallel approximation algorithm for positive linear programming
STOC '93 Proceedings of the twenty-fifth annual ACM symposium on Theory of computing
A primal-dual parallel approximation technique applied to weighted set and vertex covers
Journal of Algorithms
Randomized algorithms
Approximation algorithms for facility location problems (extended abstract)
STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
Primal-Dual RNC Approximation Algorithms for Set Cover and Covering Integer Programs
SIAM Journal on Computing
Greedy strikes back: improved facility location algorithms
Journal of Algorithms
Analysis of a local search heuristic for facility location problems
Journal of Algorithms
New approaches to covering and packing problems
SODA '01 Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms
A constant-factor approximation algorithm for the k-median problem
Journal of Computer and System Sciences - STOC 1999
An Improved Approximation Algorithm for the Metric Uncapacitated Facility Location Problem
Proceedings of the 9th International IPCO Conference on Integer Programming and Combinatorial Optimization
Improved Approximation Algorithms for Metric Facility Location Problems
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FOCS '01 Proceedings of the 42nd IEEE symposium on Foundations of Computer Science
Group Strategyproof Mechanisms via Primal-Dual Algorithms
FOCS '03 Proceedings of the 44th Annual IEEE Symposium on Foundations of Computer Science
Greedy facility location algorithms analyzed using dual fitting with factor-revealing LP
Journal of the ACM (JACM)
Improved Approximation Algorithms for the Uncapacitated Facility Location Problem
SIAM Journal on Computing
Local Search Heuristics for k-Median and Facility Location Problems
SIAM Journal on Computing
A local search approximation algorithm for k-means clustering
Computational Geometry: Theory and Applications - Special issue on the 18th annual symposium on computational geometrySoCG2002
Distributed approximation: a survey
ACM SIGACT News
Improved Combinatorial Algorithms for Facility Location Problems
SIAM Journal on Computing
Facility location: distributed approximation
Proceedings of the twenty-fourth annual ACM symposium on Principles of distributed computing
A distributed O(1)-approximation algorithm for the uniform facility location problem
Proceedings of the eighteenth annual ACM symposium on Parallelism in algorithms and architectures
Efficient NC algorithms for set cover with applications to learning and geometry
SFCS '89 Proceedings of the 30th Annual Symposium on Foundations of Computer Science
Distributed and parallel algorithms for weighted vertex cover and other covering problems
Proceedings of the 28th ACM symposium on Principles of distributed computing
Return of the primal-dual: distributed metric facilitylocation
Proceedings of the 28th ACM symposium on Principles of distributed computing
Low depth cache-oblivious algorithms
Proceedings of the twenty-second annual ACM symposium on Parallelism in algorithms and architectures
Linear-work greedy parallel approximate set cover and variants
Proceedings of the twenty-third annual ACM symposium on Parallelism in algorithms and architectures
Fast clustering using MapReduce
Proceedings of the 17th ACM SIGKDD international conference on Knowledge discovery and data mining
ALGOSENSORS'11 Proceedings of the 7th international conference on Algorithms for Sensor Systems, Wireless Ad Hoc Networks and Autonomous Mobile Entities
Parallel probabilistic tree embeddings, k-median, and buy-at-bulk network design
Proceedings of the twenty-fourth annual ACM symposium on Parallelism in algorithms and architectures
An algorithm for online facility leasing
SIROCCO'12 Proceedings of the 19th international conference on Structural Information and Communication Complexity
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This paper presents the design and analysis of parallel approximation algorithms for facility-location problems, including NC and RNC algorithms for (metric) facility location, k-center, k-median, and k-means. These problems have received considerable attention during the past decades from the approximation algorithms community, which primarily concentrates on improving the approximation guarantees. In this paper, we ask: Is it possible to parallelize some of the beautiful results from the sequential setting?. Our starting point is a small, but diverse, subset of results in approximation algorithms for facility-location problems, with a primary goal of developing techniques for devising their efficient parallel counterparts. We focus on giving algorithms with low depth, near work efficiency (compared to the sequential versions), and low cache complexity.