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- W2772037640 abstract "Preemptive online algorithms for the maximum matching problem maintain a valid matching M while edges of the underlying graph are presented one after the other. When presented with an edge e, the algorithm should decide whether to augment the matching M by adding e (in which case e may be removed later on) or to keep M in its current form without adding e (in which case e is lost for good). The objective is to eventually hold a matching M with maximum weight. The main contribution of this paper is to establish new lower and upper bounds on the competitive ratio achievable by randomized preemptive online algorithms: We provide a lower bound of 1+ln2≈1.693 on the competitive ratio of any randomized algorithm for the maximum cardinality matching problem. We devise a randomized algorithm that achieves an expected competitive ratio of 5.356 for maximum weight matching." @default.
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- W2772037640 date "2018-04-01" @default.
- W2772037640 modified "2023-10-16" @default.
- W2772037640 title "Improved bounds for randomized preemptive online matching" @default.
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- W2772037640 doi "https://doi.org/10.1016/j.ic.2017.12.002" @default.
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