Generalized Leapfrogging Samplesort: A Class of O(n ^2 n) Worst-Case Complexity and O(n n) Average-Case Complexity Sorting Algorithms

01/29/2018

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by   Eliezer A. Albacea, et al.

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The original Leapfrogging Samplesort operates on a sorted sample of size s and an unsorted part of size s+1. We generalize this to a sorted sample of size s and an unsorted part of size (2^k-1)(s+1), where k = O(1). We present a practical implementation of this class of algorithms and we show that the worst-case complexity is O(n ^2 n) and the average-case complexity is O(n n). Keywords: Samplesort, Quicksort, Leapfrogging Samplesort, sorting, analysis of algorithms.