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A note on self-improving sorting with hidden partitions

2019/02/01 by Cheng, Siu-Wing, Chiu, Man-Kwun, Jin, Kai
#Computational Geometry (cs.CG) #FOS: Computer and information sciences

paper · doi:10.48550/arxiv.1902.00219

Abstract

We study self-improving sorting with hidden partitions. Our result is an optimal algorithm which runs in expected time O(H(π(I)) + n), where I is the given input which contains n elements to be sorted, π(I) is the output which are the ranks of all element in I, and H(π(I)) denotes the entropy of the output.

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