2013 IEEE 54th Annual Symposium on Foundations of Computer Science (1988)
White Plains, NY, USA
Oct. 24, 1988 to Oct. 26, 1988
A.V. Goldberg , Dept. of Comput. Sci., Stanford Univ., CA, USA
The authors present the first sub-linear-time deterministic parallel algorithms for bipartite matching and several related problems, including maximal node-disjoint paths, depth-first search, and flows in zero-one networks. The results are based on a better understanding of the combinatorial structure of the above problems, which lead to new algorithmic techniques. In particular, it is shown how to use maximal matching to extend, in parallel, a current set of node-disjoint paths and how to take advantage of the parallelism that arises when a large number of nodes are active during an execution of a push/relabel network flow algorithm. It is also shown how to apply the techniques to design parallel algorithms for the weighted versions of the above problems.
node-disjoint paths, sublinear-time parallel algorithms, matching, maximal node-disjoint paths, depth-first search, zero-one networks, combinatorial structure
P.M. Vaidya, S.A. Plotkin, A.V. Goldberg, "Sublinear-time parallel algorithms for matching and related problems", 2013 IEEE 54th Annual Symposium on Foundations of Computer Science, vol. 00, no. , pp. 174-185, 1988, doi:10.1109/SFCS.1988.21935