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

Eliezer A. Albacea
2018 arXiv   pre-print
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.
arXiv:1801.09431v1 fatcat:qhxh4b44vfd5pk2jcaiu35r2tu