The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Eigenvalues and expanders
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
Biggs, N. (1974) · doi:10.1017/cbo9780511608704 · Cited by 2,940
Cited by
Dual Averaging for Distributed Optimization: Convergence Analysis and Network Scaling
Duchi, J. C., Agarwal, A., & Wainwright, M. J. (2012) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2011.2161027 · Cited by 947
Geometric Bounds for Eigenvalues of Markov Chains
Diaconis, P., & Stroock, D. (1991) · The Annals of Applied Probability · doi:10.1214/aoap/1177005980 · Cited by 882
Laplacians and the Cheeger Inequality for Directed Graphs
Chung, F. (2005) · Annals of Combinatorics · doi:10.1007/s00026-005-0237-z · Cited by 535
Random walks in a convex body and an improved volume algorithm
Lovász, L., & Simonovits, M. (1993) · Random Structures & Algorithms · doi:10.1002/rsa.3240040402 · Cited by 409
Lectures on finite Markov chains
Saloff-Coste, L. (1997) · Lecture Notes in Mathematics · doi:10.1007/bfb0092621 · Cited by 382
Metadata
- Authors
- Alon, N.
- Venue
- Combinatorica
- Published
- 1986-06
- Volume
- 6
- Issue
- 2
- Pages
- 83-96
- ISSN
- 0209-9683 (ISSN-L)
- 1439-6912
- OpenAlex
- W1631603072
- Cited by
- 1,137
- References
- 1
- FWCI
- 22.95
- Type
- journal article
- 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: Eigenvalues and expanders. https://app.cochat.ai/papers/10.1007/bf02579166
- The paper
- Alon, N. (1986). Eigenvalues and expanders. Combinatorica. https://doi.org/10.1007/bf02579166
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.