Title:

Improved Randomized Selection

Subtitle:

Raport Badawczy = Research Report ; RB/67/2004

Creator:

Kiwiel, Krzysztof

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2004

Description:

14 pages ; 21 cm ; Bibliography p. 14

Subject and Keywords:

Medians ; Computational complexity ; Selection

Abstract:

The paper shows that several versions of Floyd and Rivest’s improved algorithm SELECT for finding the kth smallest of n elements require at most n + min{k, n — k} +O (n1/2ln1/2n) comparisons on average and with high probability. This rectifies the analysis of Floyd and Rivest, and extends it to the case of nondistinct elements. Encouraging computational results on large median-finding problems are reported.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2004-67

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open