Heiratssatz

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Heiratssatz

Quality:

Hall's marriage theorem - theorem that a finite bipartite graph has a perfect matching iff any subset of vertices from one group has a neighbourhood of equal or greater size. Article “Heiratssatz” in German Wikipedia has 51 points for quality (as of July 1, 2025). The article contains 27 references and 13 sections.

This article has the best quality in Chinese Wikipedia. However, the most popular language version of this article is English.

Since the creation of article “Heiratssatz”, its content was written by 30 registered users of German Wikipedia and edited by 357 registered Wikipedia users in all languages.

The article is cited 18 times in German Wikipedia and cited 303 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #11378 in January 2012
  • Global: #24806 in March 2003

The highest popularity rank from 2008:

  • Local (German): #148800 in July 2014
  • Global: #188535 in January 2017

There are 18 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.

Languages with the highest quality

#LanguageQuality gradeQuality score
1Chinese (zh)
霍爾婚配定理
56.2446
2German (de)
Heiratssatz
51.0074
3English (en)
Hall's marriage theorem
44.3253
4Spanish (es)
Teorema de Hall
25.4872
5Croatian (hr)
Hallov poučak o sparivanju
22.2906
6French (fr)
Théorème de Hall
19.7535
7Korean (ko)
홀 결혼 정리
16.114
8Russian (ru)
Теорема о свадьбах
13.7956
9Polish (pl)
Twierdzenie o kojarzeniu małżeństw
13.3851
10Hebrew (he)
משפט החתונה
11.1323
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 "Heiratssatz" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Hall's marriage theorem
579 812
2Polish (pl)
Twierdzenie o kojarzeniu małżeństw
78 487
3Russian (ru)
Теорема о свадьбах
71 114
4Hebrew (he)
משפט החתונה
71 037
5German (de)
Heiratssatz
67 668
6Japanese (ja)
ホールの定理
44 785
7French (fr)
Théorème de Hall
31 143
8Hungarian (hu)
Hall-tétel
20 325
9Italian (it)
Teorema dei matrimoni
16 176
10Persian (fa)
قضیه هال
14 938
More...

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

Most popular in June 2025

The most popular language versions of the article "Heiratssatz" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Hall's marriage theorem
3 373
2Russian (ru)
Теорема о свадьбах
355
3Polish (pl)
Twierdzenie o kojarzeniu małżeństw
347
4Chinese (zh)
霍爾婚配定理
259
5Hebrew (he)
משפט החתונה
225
6German (de)
Heiratssatz
223
7Japanese (ja)
ホールの定理
161
8Spanish (es)
Teorema de Hall
157
9French (fr)
Théorème de Hall
146
10Czech (cs)
Hallova věta
54
More...

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

The highest AI

Language versions of the article "Heiratssatz" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Hall's marriage theorem
118
2Hebrew (he)
משפט החתונה
33
3Russian (ru)
Теорема о свадьбах
31
4German (de)
Heiratssatz
30
5Polish (pl)
Twierdzenie o kojarzeniu małżeństw
25
6French (fr)
Théorème de Hall
23
7Hungarian (hu)
Hall-tétel
23
8Spanish (es)
Teorema de Hall
17
9Persian (fa)
قضیه هال
13
10Italian (it)
Teorema dei matrimoni
11
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 2025

Language versions of the article "Heiratssatz" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Hall's marriage theorem
2
2Czech (cs)
Hallova věta
0
3German (de)
Heiratssatz
0
4Spanish (es)
Teorema de Hall
0
5Persian (fa)
قضیه هال
0
6Finnish (fi)
Hallin lause
0
7French (fr)
Théorème de Hall
0
8Hebrew (he)
משפט החתונה
0
9Croatian (hr)
Hallov poučak o sparivanju
0
10Hungarian (hu)
Hall-tétel
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 "Heiratssatz" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Polish (pl)
Twierdzenie o kojarzeniu małżeństw
95
2English (en)
Hall's marriage theorem
49
3Chinese (zh)
霍爾婚配定理
43
4French (fr)
Théorème de Hall
21
5German (de)
Heiratssatz
18
6Hebrew (he)
משפט החתונה
16
7Russian (ru)
Теорема о свадьбах
14
8Japanese (ja)
ホールの定理
9
9Persian (fa)
قضیه هال
8
10Ukrainian (uk)
Теорема Холла
7
More...

Scores

Estimated value for Wikipedia:
German:
Global:
Popularity in June 2025:
German:
Global:
Popularity in all years:
German:
Global:
Authors in June 2025:
German:
Global:
Registered authors in all years:
German:
Global:
Citations:
German:
Global:

Quality measures

Interwikis

#LanguageValue
csCzech
Hallova věta
deGerman
Heiratssatz
enEnglish
Hall's marriage theorem
esSpanish
Teorema de Hall
faPersian
قضیه هال
fiFinnish
Hallin lause
frFrench
Théorème de Hall
heHebrew
משפט החתונה
hrCroatian
Hallov poučak o sparivanju
huHungarian
Hall-tétel
itItalian
Teorema dei matrimoni
jaJapanese
ホールの定理
koKorean
홀 결혼 정리
plPolish
Twierdzenie o kojarzeniu małżeństw
roRomanian
Teorema căsătoriilor
ruRussian
Теорема о свадьбах
ukUkrainian
Теорема Холла
zhChinese
霍爾婚配定理

Popularity rank trends

Best Rank German:
#148800
07.2014
Global:
#188535
01.2017

AI rank trends

Best Rank German:
#11378
01.2012
Global:
#24806
03.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Hall's marriage theorem from Wikipedia articles about Perfect matching, Halls theorem, Matching, Doubly stochastic matrix and Bipartite graph. Whereas reading the article about Hall's marriage theorem people most often go to Wikipedia articles on Sperners lemma, Königs theorem, Philip Hall, Perfect matching and Transversal.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 5 March 2026

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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 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