Minimum-cost flow problem

en

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Minimum-cost flow problem

Quality:

Minimum-cost flow problem - mathematical optimization problem. Article “Minimum-cost flow problem” in English Wikipedia has 30.3 points for quality (as of July 1, 2026). The article contains 11 references and 9 sections.

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

Since the creation of article “Minimum-cost flow problem”, its content was written by 50 registered users of English Wikipedia and edited by 137 registered Wikipedia users in all languages.

The article is cited 44 times in English Wikipedia and cited 184 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #100755 in March 2011
  • Global: #47367 in April 2004

The highest popularity rank from 2008:

  • Local (English): #184734 in April 2015
  • Global: #273919 in April 2015

There are 11 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, 2026 (including revision history and pageviews for previous years).

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

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Minimum-cost flow problem
30.3459
2German (de)
Minimum-Cost Flow Problem
29.2721
3Chinese (zh)
最小费用最大流问题
23.2515
4Japanese (ja)
最小費用流問題
21.7736
5French (fr)
Problème du flot de coût minimum
18.1408
6Italian (it)
Problema del flusso di costo minimo
17.1181
7Portuguese (pt)
Problema de Fluxo de Custo Mínimo
14.0722
8Serbian (sr)
Проблем протока са минималном ценом
13.9345
9Persian (fa)
مسئله کم‌هزینه‌ترین جریان
10.3234
10Russian (ru)
Поток минимальной стоимости
8.1965
More...

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

Most popular in all the time

The most popular language versions of the article "Minimum-cost flow problem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Minimum-cost flow problem
694 548
2Russian (ru)
Поток минимальной стоимости
50 685
3Chinese (zh)
最小费用最大流问题
50 445
4German (de)
Minimum-Cost Flow Problem
29 178
5French (fr)
Problème du flot de coût minimum
24 077
6Hebrew (he)
בעיית זרימה
13 234
7Italian (it)
Problema del flusso di costo minimo
10 377
8Persian (fa)
مسئله کم‌هزینه‌ترین جریان
5 910
9Portuguese (pt)
Problema de Fluxo de Custo Mínimo
5 490
10Japanese (ja)
最小費用流問題
1 930
More...

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

Most popular in June 2026

The most popular language versions of the article "Minimum-cost flow problem" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Minimum-cost flow problem
1 773
2Japanese (ja)
最小費用流問題
149
3Chinese (zh)
最小费用最大流问题
136
4Russian (ru)
Поток минимальной стоимости
65
5German (de)
Minimum-Cost Flow Problem
60
6French (fr)
Problème du flot de coût minimum
60
7Persian (fa)
مسئله کم‌هزینه‌ترین جریان
18
8Hebrew (he)
בעיית זרימה
17
9Italian (it)
Problema del flusso di costo minimo
16
10Portuguese (pt)
Problema de Fluxo de Custo Mínimo
14
More...

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

The highest AI

Language versions of the article "Minimum-cost flow problem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Minimum-cost flow problem
50
2Hebrew (he)
בעיית זרימה
16
3Russian (ru)
Поток минимальной стоимости
14
4French (fr)
Problème du flot de coût minimum
11
5Chinese (zh)
最小费用最大流问题
11
6German (de)
Minimum-Cost Flow Problem
10
7Serbian (sr)
Проблем протока са минималном ценом
9
8Persian (fa)
مسئله کم‌هزینه‌ترین جریان
5
9Italian (it)
Problema del flusso di costo minimo
5
10Portuguese (pt)
Problema de Fluxo de Custo Mínimo
4
More...

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

The highest AI in June 2026

Language versions of the article "Minimum-cost flow problem" with the highest AI in June 2026
#LanguageAI awardRelative AI
1Italian (it)
Problema del flusso di costo minimo
1
2German (de)
Minimum-Cost Flow Problem
0
3English (en)
Minimum-cost flow problem
0
4Persian (fa)
مسئله کم‌هزینه‌ترین جریان
0
5French (fr)
Problème du flot de coût minimum
0
6Hebrew (he)
בעיית זרימה
0
7Japanese (ja)
最小費用流問題
0
8Portuguese (pt)
Problema de Fluxo de Custo Mínimo
0
9Russian (ru)
Поток минимальной стоимости
0
10Serbian (sr)
Проблем протока са минималном ценом
0
More...

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

The highest CI

Language versions of the article "Minimum-cost flow problem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Japanese (ja)
最小費用流問題
108
2English (en)
Minimum-cost flow problem
44
3Russian (ru)
Поток минимальной стоимости
9
4French (fr)
Problème du flot de coût minimum
7
5Hebrew (he)
בעיית זרימה
6
6Italian (it)
Problema del flusso di costo minimo
4
7Chinese (zh)
最小费用最大流问题
3
8German (de)
Minimum-Cost Flow Problem
2
9Persian (fa)
مسئله کم‌هزینه‌ترین جریان
1
10Portuguese (pt)
Problema de Fluxo de Custo Mínimo
0
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2026:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2026:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Minimum-Cost Flow Problem
enEnglish
Minimum-cost flow problem
faPersian
مسئله کم‌هزینه‌ترین جریان
frFrench
Problème du flot de coût minimum
heHebrew
בעיית זרימה
itItalian
Problema del flusso di costo minimo
jaJapanese
最小費用流問題
ptPortuguese
Problema de Fluxo de Custo Mínimo
ruRussian
Поток минимальной стоимости
srSerbian
Проблем протока са минималном ценом
zhChinese
最小费用最大流问题

Popularity rank trends

Best Rank English:
#184734
04.2015
Global:
#273919
04.2015

AI rank trends

Best Rank English:
#100755
03.2011
Global:
#47367
04.2004

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Minimum-cost flow problem from Wikipedia articles about Maximum flow problem, Network flow problem, Earth movers distance, Assignment problem and Flow network. Whereas reading the article about Minimum-cost flow problem people most often go to Wikipedia articles on Network simplex algorithm, Assignment problem, Ford–Fulkerson algorithm, Maximum flow problem and Flow network.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

About WikiRank

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information