Abstract
There are efficient sequential algorithms that use linear programming (LP) for computing maximum weight matchings. Finding a deterministic parallel algorithm for computing maximum weight matchings in complete graphs has been an open problem for some time. Since LP is known to be P-complete, then, by the parallel computation thesis, it is unlikely that there exists an NC algorithm that uses LP to solve the maximum weight matching problem. The authors present an LP-based parallel algorithm for maximum weight matching in a complete weighted graph. The algorithm is designed for the EREW PRAM model of parallel computation, and runs in O(n/sup 3//p+n/sup 2/logn) time for p >
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