The DOI matches its Crossref record; 18 of the 18 references it cites were found in a registry or an index.
Relations between average case complexity and approximation complexity
Abstract
We investigate relations between average case complexity and the complexity of approximation. Our preliminary findings indicate that this is a research direction that leads to interesting insights. Under the assumption that refuting 3SAT is hard on average on a natural distribution, we derive hardness of approximation results for min bisection, dense k-subgraph, max bipartite clique and the 2-catalog segmentation problem. No NP-hardness of approximation results are currently known for these problems.
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Cites
Goemans, M. X., & Williamson, D. P. (1995) · Journal of the ACM · doi:10.1145/227683.227684 · Cited by 3,587
Some optimal inapproximability results
Håstad, J. (2001) · Journal of the ACM · doi:10.1145/502090.502098 · Cited by 1,902
Generating hard instances of lattice problems (extended abstract)
Ajtai, M. (1996) · Proceedings of the twenty-eighth annual ACM symposium on Theory of computing - STOC '96 · doi:10.1145/237814.237838 · Cited by 1,405
Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms
Leighton, T., & Rao, S. (1999) · Journal of the ACM · doi:10.1145/331524.331526 · Cited by 820
Sharp thresholds of graph properties, and the $k$-sat problem
Friedgut, E., & Jean Bourgain, A. B. (1999) · Journal of the American Mathematical Society · doi:10.1090/s0894-0347-99-00305-7 · Cited by 678
Generating Hard Instances of Lattice ProblemsPreprint
Ajtai, M. (1996) · Electronic colloquium on computational complexity · Cited by 606
Feige, U., Peleg, D., & Kortsarz, G. (2001) · Algorithmica · doi:10.1007/s004530010050 · Cited by 592
Self-citationMany hard examples for resolution
Chvátal, V., & Szemerédi, E. (1988) · Journal of the ACM · doi:10.1145/48014.48016 · Cited by 439
Average Case Complete Problems
Levin, L. A. (1986) · SIAM Journal on Computing · doi:10.1137/0215020 · Cited by 424
[1991] Proceedings. Data Compression Conference
(1991) · doi:10.1109/dcc.1991 · Cited by 180
Cited by
On lattices, learning with errors, random linear codes, and cryptography
Regev, O. (2009) · Journal of the ACM · doi:10.1145/1568318.1568324 · Cited by 2,315
On lattices, learning with errors, random linear codes, and cryptography
Regev, O. (2005) · Proceedings of the thirty-seventh annual ACM symposium on Theory of computing · doi:10.1145/1060590.1060603 · Cited by 2,313
The Learning with Errors Problem (Invited Survey)
Regev, O. (2010) · 2010 IEEE 25th Annual Conference on Computational Complexity · doi:10.1109/ccc.2010.26 · Cited by 255
Metadata
- Authors
- Feige, U.
- Venue
- Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
- Publisher
- ACM
- Published
- 2002-05-19
- Pages
- 534-543
- OpenAlex
- W2072802070
- Cited by
- 351
- References
- 18
- FWCI
- 9.85
- Type
- conference paper
- Language
- en
- Open access
- closed
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