Online minimum matching with uniform metric and random arrivals

@article{Duppala2022OnlineMM,
  title={Online minimum matching with uniform metric and random arrivals},
  author={Sharmila Duppala and Karthik Abinav Sankararaman and Pan Xu},
  journal={Oper. Res. Lett.},
  year={2022},
  volume={50},
  pages={45-49}
}

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Greedy metric minimum online matchings with random arrivals
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This work shows that a simple randomized greedy algorithm is competitive on a hierarchically separated tree and presents the first poly-logarithmic competitive online algorithm for minimum metric bipartite matching.
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TLDR
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A simple 2 k − 1 competitive algorithm for online minimum weighted bipartite matching where 2 k is the number of nodes is presented and it is shown that this competitiveness is optimal.
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TLDR
An O(log2k)-competitive randomized algorithm is given for the online metric matching problem, which improves upon the best known guarantee of O( log3k) on the competitive factor due to Meyerson, Nanavati and Poplawski.
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TLDR
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TLDR
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