The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
The complexity of approximate counting
Open accessAbstract
There are several computational problems that can be formulated as problems of counting the number of objects having a certain property. Valiant [22] has introduced the class #P which includes a variety of counting problems such as counting the number of perfect matchings in a graph, computing the permanent of a matrix [22], finding the size of a backtrack search tree [14], and computing the probability that a network remains connected when links can fail with a certain probability [23].
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
The complexity of computing the permanent
Valiant, L. G. (1979) · Theoretical Computer Science · doi:10.1016/0304-3975(79)90044-6 · Cited by 2,705
Cited by
Random generation of combinatorial structures from a uniform distribution
Jerrum, M. R., Valiant, L. G., & Vazirani, V. V. (1986) · Theoretical Computer Science · doi:10.1016/0304-3975(86)90174-x · Cited by 985
The computational complexity of linear optics
Aaronson, S., & Arkhipov, A. (2011) · Proceedings of the forty-third annual ACM symposium on Theory of computing · doi:10.1145/1993636.1993682 · Cited by 874
Jerrum, M., & Sinclair, A. (1989) · SIAM Journal on Computing · doi:10.1137/0218077 · Cited by 768
A simple parallel algorithm for the maximal independent set problem
Luby, M. (1985) · Proceedings of the seventeenth annual ACM symposium on Theory of computing - STOC '85 · doi:10.1145/22145.22146 · Cited by 349
Modern Cryptography, Probabilistic Proofs and Pseudorandomness
Goldreich, O. (1999) · Algorithms and Combinatorics · doi:10.1007/978-3-662-12521-2 · Cited by 265
Metadata
- Authors
- Stockmeyer, L.
- Venue
- Proceedings of the fifteenth annual ACM symposium on Theory of computing - STOC '83
- Publisher
- ACM Press
- Published
- 1983
- Pages
- 118-126
- OpenAlex
- W2118547397
- Cited by
- 196
- References
- 1
- FWCI
- 5.16
- Type
- conference paper
- Language
- en
- Open access
- gold
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: The complexity of approximate counting. https://app.cochat.ai/papers/10.1145/800061.808740
- The paper
- Stockmeyer, L. (1983). The complexity of approximate counting. Proceedings of the fifteenth annual ACM symposium on Theory of computing - STOC '83. https://doi.org/10.1145/800061.808740
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.
