EJP Reading Tools

The number of bit comparisons used by Quicksort: an average-case analysis

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	The number of bit comparisons used by Quicksort: an average-case analysis
2.	Creator	Author's name, affiliation, country	James Allen Fill; The Johns Hopkins University; United States
2.	Creator	Author's name, affiliation, country	Svante Janson; Uppsala University; Sweden
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Quicksort; average-case analysis of algorithms; Poissonization
3.	Subject	Subject classification	60C05 (Primary) 68W40 (Secondary)
4.	Description	Abstract	The analyses of many algorithms and data structures (such as digital search trees) for searching and sorting are based on the representation of the keys involved as bit strings and so count the number of bit comparisons.  On the other hand, the standard analyses of many other algorithms (such as Quicksort) are performed in terms of the number of key comparisons.  We introduce the prospect of a fair comparison between algorithms of the two types by providing an average-case analysis of the number of bit comparisons required by Quicksort. Counting bit comparisons rather than key comparisons introduces an extra logarithmic factor to the asymptotic average total.  We also provide a new algorithm, "BitsQuick", that reduces this factor to constant order by eliminating needless bit comparisons.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	Acheson J. Duncan Fund for the Advancement of Research in Statistics, NSF
7.	Date	(YYYY-MM-DD)	2012-06-06
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/1812
10.	Identifier	Digital Object Identifier	10.1214/EJP.v17-1812
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 17
12.	Language	English=en	en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
15.	Rights	Copyright and permissions	The Electronic Journal of Probability applies the Creative Commons Attribution License (CCAL) to all articles we publish in this journal. Under the CCAL, authors retain ownership of the copyright for their article, but authors allow anyone to download, reuse, reprint, modify, distribute, and/or copy articles published in EJP, so long as the original authors and source are credited. This broad license was developed to facilitate open access to, and free use of, original works of all types. Applying this standard license to your work will ensure your right to make your work freely and openly available. Summary of the Creative Commons Attribution License You are free to copy, distribute, display, and perform the work to make derivative works to make commercial use of the work under the following condition of Attribution: others must attribute the work if displayed on the web or stored in any electronic archive by making a link back to the website of EJP via its Digital Object Identifier (DOI), or if published in other media by acknowledging prior publication in this Journal with a precise citation including the DOI. For any further reuse or distribution, the same terms apply. Any of these conditions can be waived by permission of the Corresponding Author.