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Weighted Matching in the Semi-Streaming Model

Published: 01 February 2012 Publication History

Abstract

We present an approximation algorithm to find a weighted matching of a graph in the one-pass semi-streaming model. The semi-streaming model forbids random access to the input graph and restricts the memory to ${\mathcal{O}}(n\cdot\operatorname{polylog}n)$ bits where n denotes the number of the vertices of the input graph. We obtain an approximation ratio of 5.58 while the previously best algorithm achieves a ratio of 5.82.

Cited By

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  • (2024)Semi-streaming Algorithms for Submodular Function Maximization Under b-Matching, Matroid, and Matchoid ConstraintsAlgorithmica10.1007/s00453-024-01272-x86:11(3598-3628)Online publication date: 14-Sep-2024
  • (2024)Maximum Matching Sans Maximal Matching: A New Approach for Finding Maximum Matchings in the Data Stream ModelAlgorithmica10.1007/s00453-023-01190-486:4(1173-1209)Online publication date: 1-Apr-2024
  • (2022)Deterministic (1+𝜀)-approximate maximum matching with poly(1/𝜀) passes in the semi-streaming model and beyondProceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing10.1145/3519935.3520039(248-260)Online publication date: 9-Jun-2022
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Published In

cover image Algorithmica
Algorithmica  Volume 62, Issue 1-2
Feb 2012
636 pages

Publisher

Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 01 February 2012

Author Tags

  1. Approximation algorithm
  2. Graph algorithm
  3. Matching

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Cited By

View all
  • (2024)Semi-streaming Algorithms for Submodular Function Maximization Under b-Matching, Matroid, and Matchoid ConstraintsAlgorithmica10.1007/s00453-024-01272-x86:11(3598-3628)Online publication date: 14-Sep-2024
  • (2024)Maximum Matching Sans Maximal Matching: A New Approach for Finding Maximum Matchings in the Data Stream ModelAlgorithmica10.1007/s00453-023-01190-486:4(1173-1209)Online publication date: 1-Apr-2024
  • (2022)Deterministic (1+𝜀)-approximate maximum matching with poly(1/𝜀) passes in the semi-streaming model and beyondProceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing10.1145/3519935.3520039(248-260)Online publication date: 9-Jun-2022
  • (2020)Substream-Centric Maximum Matchings on FPGAACM Transactions on Reconfigurable Technology and Systems10.1145/337787113:2(1-33)Online publication date: 24-Apr-2020
  • (2020)Communication complexity of approximate maximum matching in the message-passing modelDistributed Computing10.1007/s00446-020-00371-633:6(515-531)Online publication date: 1-Dec-2020
  • (2019)Substream-Centric Maximum Matchings on FPGAProceedings of the 2019 ACM/SIGDA International Symposium on Field-Programmable Gate Arrays10.1145/3289602.3293916(152-161)Online publication date: 20-Feb-2019
  • (2019)Structural Results on Matching Estimation with Applications to StreamingAlgorithmica10.1007/s00453-018-0449-y81:1(367-392)Online publication date: 1-Jan-2019
  • (2018)A (2+ϵ)-Approximation for Maximum Weight Matching in the Semi-streaming ModelACM Transactions on Algorithms10.1145/327466815:2(1-15)Online publication date: 7-Dec-2018
  • (2018)Streaming Algorithms for Estimating the Matching Size in Planar Graphs and BeyondACM Transactions on Algorithms10.1145/323081914:4(1-23)Online publication date: 28-Aug-2018
  • (2017)A (2 + ϵ)-approximation for maximum weight matching in the semi-streaming modelProceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms10.5555/3039686.3039826(2153-2161)Online publication date: 16-Jan-2017
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