Max-flow min-cut theorem

Max-flow min-cut theorem - theorem in optimization theory. Article "Max-flow min-cut theorem" in English Wikipedia has 42.9 points for quality (as of July 1, 2025). The article contains 9 references and 17 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

Since the creation of article "Max-flow min-cut theorem", its content was written by 115 registered users of English Wikipedia and edited by 394 registered Wikipedia users in all languages.

The article is cited 60 times in English Wikipedia and cited 233 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #14596 in March 2003
• Global: #20609 in August 2002

The highest popularity rank from 2008:

• Local (English): #39475 in March 2015
• Global: #73861 in March 2015

There are 20 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

#	Language	Quality grade	Quality score
1	English (en) Max-flow min-cut theorem		42.8716
2	Chinese (zh) 最大流最小割定理		41.1551
3	German (de) Max-Flow-Min-Cut-Theorem		17.2696
4	Persian (fa) نظریه جریان بیشینه برش کمینه		15.9238
5	French (fr) Théorème flot-max/coupe-min		15.1541
6	Italian (it) Teorema del flusso massimo e taglio minimo		14.4167
7	Japanese (ja) 最大フロー最小カット定理		12.6624
8	Hebrew (he) משפט זרימה מקסימלית - חתך מינימלי		11.6333
9	Arabic (ar) مبرهنة التدفق الأقصى والقطع الأدنى		10.887
10	Swedish (sv) Max-flöde, minsta-snitt		10.5344

More...

The following table shows the most popular language versions of the article.

The most popular language versions of the article "Max-flow min-cut theorem" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Max-flow min-cut theorem		1 451 392
2	German (de) Max-Flow-Min-Cut-Theorem		120 664
3	Russian (ru) Теорема Форда — Фалкерсона		102 851
4	Japanese (ja) 最大フロー最小カット定理		100 832
5	Chinese (zh) 最大流最小割定理		69 779
6	Hebrew (he) משפט זרימה מקסימלית - חתך מינימלי		66 657
7	French (fr) Théorème flot-max/coupe-min		57 384
8	Hungarian (hu) Maximális folyam – minimális vágás		22 933
9	Vietnamese (vi) Định lý luồng cực đại lát cắt cực tiểu		22 295
10	Portuguese (pt) Teorema do fluxo máximo e corte mínimo		18 061

More...

The following table shows the language versions of the article with the highest popularity in the last month.

The most popular language versions of the article "Max-flow min-cut theorem" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Max-flow min-cut theorem		4 259
2	German (de) Max-Flow-Min-Cut-Theorem		367
3	Chinese (zh) 最大流最小割定理		350
4	Russian (ru) Теорема Форда — Фалкерсона		291
5	Hebrew (he) משפט זרימה מקסימלית - חתך מינימלי		208
6	Japanese (ja) 最大フロー最小カット定理		174
7	French (fr) Théorème flot-max/coupe-min		155
8	Italian (it) Teorema del flusso massimo e taglio minimo		65
9	Hungarian (hu) Maximális folyam – minimális vágás		58
10	Portuguese (pt) Teorema do fluxo máximo e corte mínimo		49

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The following table shows the language versions of the article with the highest Authors’ Interest.

Language versions of the article "Max-flow min-cut theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Max-flow min-cut theorem		115
2	German (de) Max-Flow-Min-Cut-Theorem		39
3	French (fr) Théorème flot-max/coupe-min		34
4	Hebrew (he) משפט זרימה מקסימלית - חתך מינימלי		32
5	Russian (ru) Теорема Форда — Фалкерсона		30
6	Hungarian (hu) Maximális folyam – minimális vágás		23
7	Dutch (nl) Max-flow-min-cut-stelling		22
8	Vietnamese (vi) Định lý luồng cực đại lát cắt cực tiểu		20
9	Chinese (zh) 最大流最小割定理		17
10	Japanese (ja) 最大フロー最小カット定理		13

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The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

Language versions of the article "Max-flow min-cut theorem" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Arabic (ar) مبرهنة التدفق الأقصى والقطع الأدنى		0
2	Catalan (ca) Teorema de flux màxim tall mínim		0
3	Czech (cs) Fordova–Fulkersonova věta		0
4	German (de) Max-Flow-Min-Cut-Theorem		0
5	English (en) Max-flow min-cut theorem		0
6	Esperanto (eo) Teoremo pri maksimuma-fluo kaj minimuma-tranĉo		0
7	Persian (fa) نظریه جریان بیشینه برش کمینه		0
8	French (fr) Théorème flot-max/coupe-min		0
9	Hebrew (he) משפט זרימה מקסימלית - חתך מינימלי		0
10	Hungarian (hu) Maximális folyam – minimális vágás		0

More...

The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Max-flow min-cut theorem" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Max-flow min-cut theorem		60
2	Japanese (ja) 最大フロー最小カット定理		28
3	French (fr) Théorème flot-max/coupe-min		17
4	Russian (ru) Теорема Форда — Фалкерсона		17
5	Chinese (zh) 最大流最小割定理		16
6	Hungarian (hu) Maximális folyam – minimális vágás		13
7	Ukrainian (uk) Теорема Форда — Фалкерсона		13
8	Hebrew (he) משפט זרימה מקסימלית - חתך מינימלי		11
9	German (de) Max-Flow-Min-Cut-Theorem		10
10	Czech (cs) Fordova–Fulkersonova věta		7

More...

#	Language	Value
ar	Arabic مبرهنة التدفق الأقصى والقطع الأدنى
ca	Catalan Teorema de flux màxim tall mínim
cs	Czech Fordova–Fulkersonova věta
de	German Max-Flow-Min-Cut-Theorem
en	English Max-flow min-cut theorem
eo	Esperanto Teoremo pri maksimuma-fluo kaj minimuma-tranĉo
fa	Persian نظریه جریان بیشینه برش کمینه
fr	French Théorème flot-max/coupe-min
he	Hebrew משפט זרימה מקסימלית - חתך מינימלי
hu	Hungarian Maximális folyam – minimális vágás
it	Italian Teorema del flusso massimo e taglio minimo
ja	Japanese 最大フロー最小カット定理
ko	Korean 최대 유량 최소 컷 정리
nl	Dutch Max-flow-min-cut-stelling
pt	Portuguese Teorema do fluxo máximo e corte mínimo
ru	Russian Теорема Форда — Фалкерсона
sv	Swedish Max-flöde, minsta-snitt
uk	Ukrainian Теорема Форда — Фалкерсона
vi	Vietnamese Định lý luồng cực đại lát cắt cực tiểu
zh	Chinese 最大流最小割定理

Best Rank

English: #39475 03.2015

Global: #73861 03.2015

Best Rank

English: #14596 03.2003

Global: #20609 08.2002

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The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information