2013 IEEE 54th Annual Symposium on Foundations of Computer Science (1989)
Research Triangle Park, NC, USA
Oct. 30, 1989 to Nov. 1, 1989
A.V. Goldberg , Stanford Univ, CA, USA
Interior-point methods for linear programming, developed in the context of sequential computation, are used to obtain a parallel algorithm for the bipartite matching problem. The algorithm runs in O*( square root m) time. The results extend to the weighted bipartite matching problem and to the zero-one minimum-cost flow problem, yielding O*( square root m log C) algorithms. This improves previous bounds on these problems and illustrates the importance of interior-point methods in parallel algorithm design.
interior-point methods, linear programming, parallel algorithm, bipartite matching problem
E. Tardos, S.A. Plotkin, D.B. Shmoys, A.V. Goldberg, "Interior-point methods in parallel computation", 2013 IEEE 54th Annual Symposium on Foundations of Computer Science, vol. 00, no. , pp. 350-355, 1989, doi:10.1109/SFCS.1989.63502