On the red-blue set cover problem
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Fast distributed algorithms for (weakly) connected dominating sets and linear-size skeletons
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Constant-time distributed dominating set approximation
Distributed Computing
On space constrained set selection problems
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Hierarchical routing in ad hoc networks using k-dominating sets
ACM SIGMOBILE Mobile Computing and Communications Review
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On the approximability of Dodgson and Young elections
SODA '09 Proceedings of the twentieth Annual ACM-SIAM Symposium on Discrete Algorithms
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DCOSS '09 Proceedings of the 5th IEEE International Conference on Distributed Computing in Sensor Systems
Set multi-covering via inclusion-exclusion
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SSS '09 Proceedings of the 11th International Symposium on Stabilization, Safety, and Security of Distributed Systems
Exact Algorithms for Set Multicover and Multiset Multicover Problems
ISAAC '09 Proceedings of the 20th International Symposium on Algorithms and Computation
Joint Monitoring and Routing in Wireless Sensor Networks Using Robust Identifying Codes
Mobile Networks and Applications
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DASFAA'07 Proceedings of the 12th international conference on Database systems for advanced applications
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Theoretical Computer Science
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INFOCOM'10 Proceedings of the 29th conference on Information communications
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Linear-work greedy parallel approximate set cover and variants
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Approximation schemes for deal splitting and covering integer programs with multiplicity constraints
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Hierarchical routing in sensor networks using k-dominating sets
IWDC'05 Proceedings of the 7th international conference on Distributed Computing
Bucket game with applications to set multicover and dynamic page migration
ESA'05 Proceedings of the 13th annual European conference on Algorithms
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WAOA'05 Proceedings of the Third international conference on Approximation and Online Algorithms
Greedy approximation via duality for packing, combinatorial auctions and routing
MFCS'05 Proceedings of the 30th international conference on Mathematical Foundations of Computer Science
Approximation schemes for deal splitting and covering integer programs with multiplicity constraints
WAOA'04 Proceedings of the Second international conference on Approximation and Online Algorithms
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The VLDB Journal — The International Journal on Very Large Data Bases
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Information Processing Letters
On the approximability of Dodgson and Young elections
Artificial Intelligence
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Proceedings of the twenty-fourth annual ACM symposium on Parallelism in algorithms and architectures
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We build on the classical greedy sequential set cover algorithm, in the spirit of the primal-dual schema, to obtain simple parallel approximation algorithms for the set cover problem and its generalizations. Our algorithms use randomization, and our randomized voting lemmas may be of independent interest. Fast parallel approximation algorithms were known before for set cover, though not for the generalizations considered in this paper.