Abstract

An efficient parallel algorithm is presented to find a maximum weight independent set of a permutation graph which takesO (logn) time usingO (n 2/logn) processors on an EREW PRAM, provided the graph has at mostO (n) maximal independent sets. The best known parallel algorithm takesO (log2 n) time andO (n 3/logn) processors on a CREW PRAM.

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