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The Cartographer
The Weighted Matching Approach to Maximum Cardinality Matching
March 11, 2017 Β· Declared Dead Β· π Fundamenta Informaticae
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Authors
Harold N. Gabow
arXiv ID
1703.03998
Category
cs.DS: Data Structures & Algorithms
Citations
27
Venue
Fundamenta Informaticae
Last Checked
3 months ago
Abstract
Several papers have achieved time $O(\sqrt n m)$ for cardinality matching, starting from first principles. This results in a long derivation. We simplify the task by employing well-known concepts for maximum weight matching. We use Edmonds' algorithm to derive the structure of shortest augmenting paths. We extend this to a complete algorithm for maximum cardinality matching in time $O(\sqrt n m)$.
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