The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Reducibility Among Combinatorial Problems
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 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
Cited by
Goemans, M. X., & Williamson, D. P. (1995) · Journal of the ACM · doi:10.1145/227683.227684 · Cited by 3,587
Ising formulations of many NP problems
Lucas, A. (2014) · Frontiers in Physics · doi:10.3389/fphy.2014.00005 · Cited by 2,512
In-network aggregation techniques for wireless sensor networks: a survey
Fasolo, E., Rossi, M., Widmer, J., & Zorzi, M. (2007) · IEEE Wireless Communications · doi:10.1109/mwc.2007.358967 · Cited by 734
On agent-mediated electronic commerce
He, M., Jennings, N. R., & Leung, H.-F. (2003) · IEEE Transactions on Knowledge and Data Engineering · doi:10.1109/tkde.2003.1209014 · Cited by 389
Consolidating virtual machines with dynamic bandwidth demand in data centers
Wang, M., Meng, X., & Zhang, L. (2011) · 2011 Proceedings IEEE INFOCOM · doi:10.1109/infcom.2011.5935254 · Cited by 339
Metadata
- Authors
- Karp, R. M.
- Venue
- 50 Years of Integer Programming 1958-2008
- Publisher
- Springer Berlin Heidelberg
- Published
- 2009-11-06
- Pages
- 219-241
- OpenAlex
- W1975442866
- Cited by
- 2,490
- References
- 1
- FWCI
- 264.43
- Type
- book chapter
- Language
- en
- Open access
- closed
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: Reducibility Among Combinatorial Problems. https://app.cochat.ai/papers/10.1007/978-3-540-68279-0_8
- The paper
- Karp, R. M. (2010). Reducibility Among Combinatorial Problems. 50 Years of Integer Programming 1958-2008. https://doi.org/10.1007/978-3-540-68279-0_8
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.