The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Approximation algorithms for combinatorial problems
Abstract
Simple, polynomial-time, heuristic algorithms for finding approximate solutions to various polynomial complete optimization problems are analyzed with respect to their worst case behavior, measured by the ratio of the worst solution value that can be chosen by the algorithm to the optimal value. For certain problems, such as a simple form of the knapsack problem and an optimization problem based on satisfiability testing, there are algorithms for which this ratio is bounded by a constant, independent of the problem size. For a number of set covering problems, simple algorithms yield worst case ratios which can grow with the log of the problem size. And for the problem of finding the maximum clique in a graph, no algorithm has been found for which the ratio does not grow at least as fast as 0(nε), where n is the problem size and ε> 0 depends on the algorithm.
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Citations
Cites
Reducibility among Combinatorial Problems
Karp, R. M. (1972) · Complexity of Computer Computations · doi:10.1007/978-1-4684-2001-2_9 · Cited by 11,511
The complexity of theorem-proving procedures
Cook, S. A. (1971) · Proceedings of the third annual ACM symposium on Theory of computing - STOC '71 · doi:10.1145/800157.805047 · Cited by 6,385
Worst-case analysis of memory allocation algorithms
Garey, M. R., Graham, R. L., & Ullman, J. D. (1972) · Proceedings of the fourth annual ACM symposium on Theory of computing - STOC '72 · doi:10.1145/800152.804907 · Cited by 178
Johnson, D. S. (1972) · Annual Symposium on Switching & Automata Theory · doi:10.1109/swat.1972.4 · Cited by 27
Self-citation
Cited by
Some simplified NP-complete graph problems
Garey, M. R., Johnson, D. S., & Stockmeyer, L. (1976) · Theoretical Computer Science · doi:10.1016/0304-3975(76)90059-1 · Cited by 2,059
Self-citationFast Approximation Algorithms for the Knapsack and Sum of Subset Problems
Ibarra, O. H., & Kim, C. E. (1975) · Journal of the ACM · doi:10.1145/321906.321909 · Cited by 959
From the Quantum Approximate Optimization Algorithm to a Quantum Alternating Operator Ansatz
Hadfield, S., Wang, Z., O’Gorman, B., Rieffel, E. G., Venturelli, D., & Biswas, R. (2019) · Algorithms · doi:10.3390/a12020034 · Cited by 772
Some simplified NP-complete problems
Garey, M. R., Johnson, D. S., & Stockmeyer, L. (1974) · Proceedings of the sixth annual ACM symposium on Theory of computing - STOC '74 · doi:10.1145/800119.803884 · Cited by 614
Self-citationApproximate Algorithms for the 0/1 Knapsack Problem
Sahni, S. (1975) · Journal of the ACM · doi:10.1145/321864.321873 · Cited by 349
Metadata
- Authors
- Johnson, D. S.
- Venue
- Proceedings of the fifth annual ACM symposium on Theory of computing - STOC '73
- Publisher
- ACM Press
- Published
- 1973
- Pages
- 38-49
- OpenAlex
- W2078007422
- Cited by
- 272
- References
- 4
- FWCI
- 4.09
- Type
- conference paper
- Language
- en
- Open access
- closed
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