en>Donner60: Reverted 1 edit by 222.127.195.42 (talk) to last revision by Donner60. (TW)

2014-06-11T07:24:46Z

Reverted 1 edit by 222.127.195.42 (talk) to last revision by Donner60. (TW)

← Older revision		Revision as of 09:24, 11 June 2014
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	~~\|name=Floyd–Rivest~~
	~~\|class=[[Selection algorithm]]~~
	~~\|image=~~
	~~\|data=[[Array data structure\|Array]]~~
	\|average~~-time=~~<~~math~~>~~n + \min(k, n-k) + O(n^{1/2})~~<~~/math~~>
	~~\|time=~~
	~~\|space=~~
	}}

	~~In [[computer science]]~~, ~~the '''Floyd–Rivest algorithm''' is~~ a ~~highly efficient [[selection algorithm]] – its expected number~~ of ~~comparisons~~ is ~~optimal~~ to ~~within [[lower-order terms]]~~.

	~~The algorithm~~ was ~~originally presented~~ in ~~a Stanford University technical report containing two papers~~, ~~where~~ it ~~was paired with [[median of medians]]~~.<~~ref~~>~~"Two papers on~~ the ~~selection problem: Time Bounds~~ for ~~Selection~~ and ~~Expected Time Bounds for Selection"~~
	[~~ftp~~://~~reports~~.~~stanford~~.~~edu~~/~~www~~/~~pub~~/~~public_html/public_html/cstr~~.~~old~~/~~reports~~/~~cs/tr/73/349/CS~~-~~TR-73-349~~.~~pdf CS-TR-73-349],~~ [http://~~infolab~~.~~stanford~~.~~edu~~/TR/ ~~Stanford Computer Science Technical Reports and Technical Notes~~], ~~April 1973~~<~~/ref~~>

	It ~~was subsequently published~~ in ~~{{Harvtxt\|Floyd\|Rivest\|1975}}~~.

	In the ~~original paper~~ the ~~algorithm~~ is ~~referred to~~ as ~~'''SELECT'''; contrast with FIND for quickselect~~ and ~~PICK for median~~ of ~~medians~~.

	~~==References==~~
	~~{{reflist}}~~
	~~{{refbegin}}~~
	* {{cite doi\|10.~~1145/360680~~.~~360691}}~~
	* {{cite doi\|10.~~1016/j~~.~~tcs~~.~~2005~~.06.~~032}}~~
	* "A probabilistic analysis of the ~~Floyd-Rivest expected~~ time ~~selection algorithm" (2002)~~, ~~by Alexandros V~~. ~~Gerbessiotis~~, ~~Constantinos J~~. ~~Siniolakis~~, ~~Aghia Paraskevi~~
	~~{{refend}}~~

	~~{{DEFAULTSORT:Floyd-Rivest algorithm}}~~
	~~[[Category:Selection algorithms]]~~


	~~{{algorithm-stub}}~~

en>Gilliam: Reverted edits by 124.6.181.206 (talk) to last version by Colonel Warden

2014-01-09T00:19:24Z

Reverted edits by 124.6.181.206 (talk) to last version by Colonel Warden

New page

{{Infobox Algorithm
|name=Floyd–Rivest
|class=[[Selection algorithm]]
|image=
|data=[[Array data structure|Array]]
|average-time=<math>n + \min(k, n-k) + O(n^{1/2})</math>
|time=
|space=
}}

In [[computer science]], the '''Floyd–Rivest algorithm''' is a highly efficient [[selection algorithm]] – its expected number of comparisons is optimal to within [[lower-order terms]].

The algorithm was originally presented in a Stanford University technical report containing two papers, where it was paired with [[median of medians]].<ref>"Two papers on the selection problem: Time Bounds for Selection and Expected Time Bounds for Selection"
[ftp://reports.stanford.edu/www/pub/public_html/public_html/cstr.old/reports/cs/tr/73/349/CS-TR-73-349.pdf CS-TR-73-349], [http://infolab.stanford.edu/TR/ Stanford Computer Science Technical Reports and Technical Notes], April 1973</ref>

It was subsequently published in {{Harvtxt|Floyd|Rivest|1975}}.

In the original paper the algorithm is referred to as '''SELECT'''; contrast with FIND for quickselect and PICK for median of medians.

==References==
{{reflist}}
{{refbegin}}
* {{cite doi|10.1145/360680.360691}}
* {{cite doi|10.1016/j.tcs.2005.06.032}}
* "A probabilistic analysis of the Floyd-Rivest expected time selection algorithm" (2002), by Alexandros V. Gerbessiotis, Constantinos J. Siniolakis, Aghia Paraskevi
{{refend}}

{{DEFAULTSORT:Floyd-Rivest algorithm}}
[[Category:Selection algorithms]]

{{algorithm-stub}}

Functional notation - Revision history

en>Donner60: Reverted 1 edit by 222.127.195.42 (talk) to last revision by Donner60. (TW)

en>Gilliam: Reverted edits by 124.6.181.206 (talk) to last version by Colonel Warden