The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
An O(v|v| c |E|) algoithm for finding maximum matching in general graphs
Abstract
In this paper we present an 0(√|V|·|E|) algorithm for finding a maximum matching in general graphs. This algorithm works in 'phases'. In each phase a maximal set of disjoint minimum length augmenting paths is found, and the existing matching is increased along these paths. Our contribution consists in devising a special way of handling blossoms, which enables an O(|E|) implementation of a phase. In each phase, the algorithm grows Breadth First Search trees at all unmatched vertices. When it detects the presence of a blossom, it does not 'shrink' the blossom immediately. Instead, it delays the shrinking in such a way that the first augmenting path found is of minimum length. Furthermore, it achieves the effect of shrinking a blossom by a special labeling procedure which enables it to find an augmenting path through a blossom quickly.
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Citations
Cites
Edmonds, J. (1965) · Canadian Journal of Mathematics · doi:10.4153/cjm-1965-045-4 · Cited by 2,428
Cited by
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Wu, Y., & Zhong, L. (2023) · 2023 IEEE International Conference on Quantum Computing and Engineering (QCE) · doi:10.1109/qce57702.2023.00107 · Cited by 47
Metadata
- Authors
- Micali, S., & Vazirani, V. V.
- Venue
- 21st Annual Symposium on Foundations of Computer Science (sfcs 1980)
- Publisher
- IEEE
- Published
- 1980-10
- Pages
- 17-27
- ISSN
- 0272-5428 (ISSN-L)
- OpenAlex
- W2003813631
- Cited by
- 822
- References
- 1
- FWCI
- 1.99
- Type
- conference paper
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: An O(v|v| c |E|) algoithm for finding maximum matching in general graphs. https://app.cochat.ai/papers/10.1109/sfcs.1980.12
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- Micali, S., & Vazirani, V. V. (1980). An O(v|v| c |E|) algoithm for finding maximum matching in general graphs. 21st Annual Symposium on Foundations of Computer Science (sfcs 1980). https://doi.org/10.1109/sfcs.1980.12
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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.
