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Problem of lexicographic unranking of a permutation is in NC
Journal article

Problem of lexicographic unranking of a permutation is in NC

B.Y. Wu and C.Y. Tang
Proceedings of the National Science Council, Republic of China, Part A: Physical Science and Engineering, Vol.18(4), pp.348-352
07/1994

Abstract

Engineering (all)
A parallel lexicographic unranking algorithm of a permutation of r out n objects is developed in this paper. The time complexity of our algorithm is O(rlogr/N+logrloglogN) on the CREW PRAM model, where N is the number of processors. This result shows that the problem for lexicographic unranking of a permutation is in NC. In particular, when N=1, our algorithm is also the most efficient sequential algorithm.

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