Analysis of pivot sampling in dual-pivot quicksort: A holistic analysis of Yaroslavskiy's partitioning scheme

ME Nebel, S Wild, C Martínez - Algorithmica, 2016 - Springer
… skewed order statistics of a sample instead of the tertiles. The … potential to tune dual-pivot
Quicksort using skewed pivots [31], … way to sample pivots by means of a precise analysis of the …

Optimal partitioning for dual-pivot quicksort

M Aumüller, M Dietzfelbinger - ACM Transactions on Algorithms (TALG), 2015 - dl.acm.org
… two tertiles in a sample of size 5 as pivots (ie, the elements of rank 2 and 4). In Section 7, we
analyze the comparison count of dual-pivot quicksort algorithms with this sampling strategy. …

[PDF][PDF] Dual-pivot quicksort and beyond: Analysis of multiway partitioning and its practical potential

S Wild - 2016 - kluedo.ub.rptu.de
analysis of multiway Quicksort including the important optimization to choose pivots from a
sample of … with pivot sampling and multiway partitioning as for the random-permutation case. …

Java 7's dual pivot quicksort

S Wild - 2012 - kluedo.ub.rptu.de
… The most notable contribution to the study of pivot sampling is the computation of higher
order moments, which is also contained in [Hen89]. The exact expressions are quite lengthy and …

Pivot sampling in dual-pivot quicksort

ME Nebel, S Wild - arXiv preprint arXiv:1403.6602, 2014 - arxiv.org
… comparisons than classic single-pivot Quicksort implementations. In this paper, we extend
the analysis to the case where the two pivots are chosen as fixed order statistics of a random …

Analysis of pivot sampling in dual-pivot quicksort

S Wild, ME Nebel, C Martínez - arXiv preprint arXiv:1412.0193, 2014 - arxiv.org
… than classic singlepivot Quicksort. In this paper, we extend the analysis to the case where
the two pivots are chosen as fixed order statistics of a random sample. Surprisingly, …

Multi-pivot quicksort: Theory and experiments

S Kushagra, A López-Ortiz, A Qiao, JI Munro - 2014 Proceedings of the …, 2014 - SIAM
… cache behavior than the dual pivot quicksort in the expected case… analyses of the cache
behaviors of the various quicksort … a very large sample to perform a 4-way/3-pivot partition of the …

How good is multi-pivot quicksort?

M Aumüller, M Dietzfelbinger, P Klaue - ACM Transactions on Algorithms …, 2016 - dl.acm.org
… of quicksort and dual-pivot quicksort, pivots are usually taken from a small sample of … (iii)
We analyze sampling strategies for multi-pivot quicksort algorithms with respect to comparisons …

Average case and distributional analysis of dual-pivot quicksort

S Wild, ME Nebel, R Neininger - ACM Transactions on Algorithms …, 2015 - dl.acm.org
… This article does not consider more refined ways to choose pivots, like selecting order statistics
of a random sample. We decided to defer a detailed treatment of Yaroslavskiy’s algorithm …

[PDF][PDF] Pivot sampling in java 7's dual-pivot quicksort

ME Nebel12, S Wild - arXiv preprint arXiv:1403.6602, 2014 - Citeseer
… comparisons than classic single-pivot Quicksort implementations. In this paper, we extend
the analysis to the case where the two pivots are chosen as fixed order statistics of a random …