Interior-Point Methods in Parallel Computation

نویسندگان

  • Andrew V. Goldberg
  • Serge A. Plotkin
  • David B. Shmoys
  • Éva Tardos
چکیده

In this paper we use interior-point methods for linear programming, developed in t,he contest of sequential computation, to obtain a parallel algorithm for t,he bipartite matching problem. Our algorithm runs in 0*(,/E) time I. Our results extend to the weighted bipartite matching problem and to the zero-one minimum-cost flow problem, yielding O*( filog C’) algorithms?. This improvk’previous bounds on these problems and illustrates the importance of interior-point methods in t#he contest of parallel algorithm design.

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تاریخ انتشار 1989