The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
A simple parallel algorithm for the maximal independent set problem
Open accessAbstract
Simple parallel algorithms for the maximal independent set (MIS) problem are presented. The first algorithm is a Monte Carlo algorithm with a very local property. The local property of this algorithm may make it a useful protocol design tool in distributed computing environments and artificial intelligence. One of the main contributions of this paper is the development of powerful and general techniques for converting Monte Carlo algorithms into deterministic algorithms. These techniques are used to convert the Monte Carlo algorithm for the MIS problem into a simple deterministic algorithm with the same parallel running time.
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Cites
An introduction to probability theory and its applications
(1958) · Journal of the Franklin Institute · doi:10.1016/0016-0032(58)90688-4 · Cited by 29,269
Neural networks and physical systems with emergent collective computational abilities.
Hopfield, J. J. (1982) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.79.8.2554 · Cited by 19,270
Shamir, A. (1979) · Communications of the ACM · doi:10.1145/359168.359176 · Cited by 13,756
A Simple Parallel Algorithm for the Maximal Independent Set Problem
Luby, M. (1986) · SIAM Journal on Computing · doi:10.1137/0215074 · Cited by 1,147
Self-citationA fast and simple randomized parallel algorithm for the maximal independent set problem
Alon, N., Babai, L., & Itai, A. (1986) · Journal of Algorithms · doi:10.1016/0196-6774(86)90019-2 · Cited by 823
A taxonomy of problems with fast parallel algorithms
Cook, S. A. (1985) · Information and Control · doi:10.1016/s0019-9958(85)80041-3 · Cited by 641
A complexity theoretic approach to randomness
Sipser, M. (1983) · Proceedings of the fifteenth annual ACM symposium on Theory of computing - STOC '83 · doi:10.1145/800061.808762 · Cited by 460
The complexity of approximate counting
Stockmeyer, L. (1983) · Proceedings of the fifteenth annual ACM symposium on Theory of computing - STOC '83 · doi:10.1145/800061.808740 · Cited by 196
Metadata
- Authors
- Luby, M.
- Venue
- Proceedings of the seventeenth annual ACM symposium on Theory of computing - STOC '85
- Publisher
- ACM Press
- Published
- 1985
- Pages
- 1-10
- OpenAlex
- W2071114738
- Cited by
- 349
- References
- 8
- FWCI
- 9.58
- Type
- conference paper
- Language
- en
- Open access
- gold
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- Luby, M. (1985). A simple parallel algorithm for the maximal independent set problem. Proceedings of the seventeenth annual ACM symposium on Theory of computing - STOC '85. https://doi.org/10.1145/22145.22146
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
