Communication Efficient Coresets for Maximum Matching

  title={Communication Efficient Coresets for Maximum Matching},
  author={Michael Kapralov and Gilbert Maystre and Jakab Tardos},
In this paper we revisit the problem of constructing randomized composable coresets for bipartite matching. In this problem the input graph is randomly partitioned across $k$ players, each of which sends a single message to a coordinator, who then must output a good approximation to the maximum matching in the input graph. Assadi and Khanna gave the first such coreset, achieving a $1/9$-approximation by having every player send a maximum matching, i.e. at most $n/2$ words per player. The… 
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