Dynamic Algorithms for Maximum Matching Size

@article{Behnezhad2022DynamicAF,
  title={Dynamic Algorithms for Maximum Matching Size},
  author={Soheil Behnezhad},
  journal={ArXiv},
  year={2022},
  volume={abs/2207.07607}
}
We study fully dynamic algorithms for maximum matching. This is a well-studied problem, known to admit several update-time/approximation trade-offs. For instance, it is known how to maintain a 1/2-approximate matching in (poly log n ) time or a 2 / 3-approximate matching in O ( √ n ) time, where n is the number of vertices. Improving either of these bounds has been a long-standing open problem. In this paper, we show that when the goal is to maintain just the size of the matching instead of its… 

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