English

A note on multipivot Quicksort

Data Structures and Algorithms 2018-09-05 v3 Combinatorics

Abstract

We analyse a generalisation of the Quicksort algorithm, where k uniformly at random chosen pivots are used for partitioning an array of n distinct keys. Specifically, the expected cost of this scheme is obtained, under the assumption of linearity of the cost needed for the partition process. The integration constants of the expected cost are computed using Vandermonde matrices.

Keywords

Cite

@article{arxiv.1407.7459,
  title  = {A note on multipivot Quicksort},
  author = {Vasileios Iliopoulos},
  journal= {arXiv preprint arXiv:1407.7459},
  year   = {2018}
}

Comments

Author's accepted manuscript, 7 pages

R2 v1 2026-06-22T05:14:55.527Z