The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
An $n^{5/2} $ Algorithm for Maximum Matchings in Bipartite Graphs
Abstract
The present paper shows how to construct a maximum matching in a bipartite graph with n vertices and m edges in a number of computation steps proportional to $(m + n)\sqrt n $.
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Citations
Cites
The Hungarian method for the assignment problem
Kuhn, H. W. (1955) · Naval Research Logistics Quarterly · doi:10.1002/nav.3800020109 · Cited by 13,120
Edmonds, J. (1965) · Canadian Journal of Mathematics · doi:10.4153/cjm-1965-045-4 · Cited by 2,428
Cited by
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
Edmonds polytopes and a hierarchy of combinatorial problems
Chvátal, V. (1973) · Discrete Mathematics · doi:10.1016/0012-365x(73)90167-2 · Cited by 624
Faster Scaling Algorithms for Network Problems
Gabow, H. N., & Tarjan, R. E. (1989) · SIAM Journal on Computing · doi:10.1137/0218069 · Cited by 414
Hucka, M., Bergmann, F. T., Chaouiya, C., Dräger, A., Hoops, S., Keating, S. M., König, M., Novère, N. L., Myers, C. J., Olivier, B. G., et al. (2019) · Journal of Integrative Bioinformatics · doi:10.1515/jib-2019-0021 · Cited by 258
Tsuji, S., Hase, T., Yachie-Kinoshita, A., Nishino, T., Ghosh, S., Kikuchi, M., Shimokawa, K., Aburatani, H., Kitano, H., & Tanaka, H. (2021) · Alzheimer's Research & Therapy · doi:10.1186/s13195-021-00826-3 · Cited by 75
Metadata
- Authors
- Hopcroft, J. E., & Karp, R. M.
- Venue
- SIAM Journal on Computing
- Published
- 1973-12
- Volume
- 2
- Issue
- 4
- Pages
- 225-231
- ISSN
- 0097-5397 (ISSN-L)
- 1095-7111
- OpenAlex
- W2157529519
- Cited by
- 2,802
- References
- 2
- FWCI
- 11.49
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: An $n^{5/2} $ Algorithm for Maximum Matchings in Bipartite Graphs. https://app.cochat.ai/papers/10.1137/0202019
- The paper
- Hopcroft, J. E., & Karp, R. M. (1973). An $n^{5/2} $ Algorithm for Maximum Matchings in Bipartite Graphs. SIAM Journal on Computing. https://doi.org/10.1137/0202019
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.