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New Streaming Algorithms for Parameterized Maximal Matching & Beyond

Published: 13 June 2015 Publication History
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  • Abstract

    Very recently at SODA'15 [2], we studied maximal matching via the framework of parameterized streaming, where we sought solutions under the promise that no maximal matching exceeds k in size. In this paper, we revisit this problem and provide a much simpler algorithm for this problem. We are also able to apply the same technique to the Point Line Cover problem [3].

    References

    [1]
    N. Barkay, E. Porat, and B. Shalem. Efficient sampling of non-strict turnstile data streams. In FCT 2013, pages 48--59.
    [2]
    R. H. Chitnis, G. Cormode, M. T. Hajiaghayi, and M. Monemizadeh. Parameterized streaming: Maximal matching and vertex cover. In SODA 2015, pages 1234--1251.
    [3]
    S. Kratsch, G. Philip, and S. Ray. Point line cover: The easy kernel is essentially tight. In SODA 2014, pages 1596--1606.

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    1. New Streaming Algorithms for Parameterized Maximal Matching & Beyond

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      Published In

      cover image ACM Conferences
      SPAA '15: Proceedings of the 27th ACM symposium on Parallelism in Algorithms and Architectures
      June 2015
      362 pages
      ISBN:9781450335881
      DOI:10.1145/2755573
      • General Chair:
      • Guy Blelloch,
      • Program Chair:
      • Kunal Agrawal
      Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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      New York, NY, United States

      Publication History

      Published: 13 June 2015

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      Author Tags

      1. dynamic streams
      2. maximal matching
      3. point line cover
      4. promise
      5. streaming algorithms

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      SPAA '15

      Acceptance Rates

      SPAA '15 Paper Acceptance Rate 31 of 131 submissions, 24%;
      Overall Acceptance Rate 447 of 1,461 submissions, 31%

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      Cited By

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      • (2024)Parameterized Complexity of Streaming Diameter and Connectivity ProblemsAlgorithmica10.1007/s00453-024-01246-zOnline publication date: 19-Jun-2024
      • (2024)Nearly Time-Optimal Kernelization Algorithms for the Line-Cover Problem with Big DataAlgorithmica10.1007/s00453-024-01231-686:8(2448-2478)Online publication date: 9-May-2024
      • (2023)Streaming Deletion Problems Parameterized by Vertex CoverTheoretical Computer Science10.1016/j.tcs.2023.114178(114178)Online publication date: Sep-2023
      • (2023)Small Vertex Cover Helps in Fixed-Parameter Tractability of Graph Deletion Problems over Data StreamsTheory of Computing Systems10.1007/s00224-023-10136-w67:6(1241-1267)Online publication date: 20-Sep-2023
      • (2022)Linear-time parameterized algorithms with limited local resourcesInformation and Computation10.1016/j.ic.2022.104951(104951)Online publication date: Aug-2022
      • (2021)Streaming Deletion Problems Parameterized by Vertex CoverFundamentals of Computation Theory10.1007/978-3-030-86593-1_29(413-426)Online publication date: 9-Sep-2021
      • (2020)Fixed Parameter Tractability of Graph Deletion Problems over Data StreamsComputing and Combinatorics10.1007/978-3-030-58150-3_53(652-663)Online publication date: 27-Aug-2020
      • (2017)Brief AnnouncementProceedings of the 29th ACM Symposium on Parallelism in Algorithms and Architectures10.1145/3087556.3087601(133-136)Online publication date: 24-Jul-2017
      • (2016)Engineering a Bipartite Matching Algorithm in the Semi-Streaming ModelAlgorithm Engineering10.1007/978-3-319-49487-6_11(352-378)Online publication date: 11-Nov-2016

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