Fully Dynamic Matching in Bipartite Graphs

@inproceedings{Bernstein2015FullyDM,
  title={Fully Dynamic Matching in Bipartite Graphs},
  author={Aaron Bernstein and Clifford Stein},
  booktitle={ICALP},
  year={2015}
}
We present two fully dynamic algorithms for maximum cardinality matching in bipartite graphs. Our main result is a deterministic algorithm that maintains a (3/2+ ) approximation in worst-case update time O(m −2.5), which is polynomially faster than all previous deterministic algorithms for any constant approximation, and faster than all previous algorithms (randomized included) that achieve a better-than-2 approximation. We also give stronger results for bipartite graphs whose arboricity is at… CONTINUE READING

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