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- W287396573 abstract "In the design of greedy algorithms for the maximum cardinality matching problem the utilization of information when selecting the next edge is a well established and successful approach. We define the class of degree sensitive greedy matching algorithms, which allows us to analyze many well-known heuristics, and provide tight approximation guarantees under worst case tie breaking. We exhibit algorithms in this class with optimal approximation guarantee for bipartite graphs. In particular the Karp-Sipser algorithm, which picks an edge incident with a degree-1 node if possible and otherwise an arbitrary edge, turns out to be optimal with approximation guarantee D/(2D-2), where D is the maximum degree." @default.
- W287396573 created "2016-06-24" @default.
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- W287396573 date "2015-04-22" @default.
- W287396573 modified "2023-09-27" @default.
- W287396573 title "On the Approximation Performance of Degree Heuristics for Matching." @default.
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