Kirchhoff's theorem

en

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Kirchhoff's theorem

Quality:

Kirchhoff's theorem - theorem of computing the number of spanning trees in a graph. Article "Kirchhoff's theorem" in English Wikipedia has 27.1 points for quality (as of July 1, 2025). The article contains 4 references and 11 sections.

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

In June 2025 the article "Kirchhoff's theorem" was edited by 2 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article "Kirchhoff's theorem", its content was written by 85 registered users of English Wikipedia and edited by 233 registered Wikipedia users in all languages.

The article is cited 28 times in English Wikipedia and cited 93 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #59873 in April 2010
  • Global: #65252 in April 2010

The highest popularity rank from 2008:

  • Local (English): #291625 in April 2019
  • Global: #392143 in April 2010

There are 14 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
1English (en)
Kirchhoff's theorem
27.0529
2French (fr)
Théorème de Kirchhoff
20.2261
3Chinese (zh)
矩阵树定理
16.7215
4Ukrainian (uk)
Матрична теорема про дерева
12.2375
5Russian (ru)
Матричная теорема о деревьях
11.3266
6Persian (fa)
نظریه کیرشهف
10.51
7German (de)
Satz von Kirchhoff
9.0448
8Vietnamese (vi)
Định lý Kirchhoff
6.7432
9Polish (pl)
Twierdzenie Kirchhoffa
5.9948
10Hebrew (he)
משפט קירכהוף
4.9572
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 "Kirchhoff's theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Kirchhoff's theorem
465 435
2Russian (ru)
Матричная теорема о деревьях
55 027
3Polish (pl)
Twierdzenie Kirchhoffa
40 932
4German (de)
Satz von Kirchhoff
29 481
5French (fr)
Théorème de Kirchhoff
23 292
6Italian (it)
Teorema di Kirchhoff
17 177
7Hebrew (he)
משפט קירכהוף
11 829
8Spanish (es)
Teorema de Kirchhoff
10 733
9Chinese (zh)
矩阵树定理
10 547
10Vietnamese (vi)
Định lý Kirchhoff
6 211
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 "Kirchhoff's theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Kirchhoff's theorem
2 442
2Russian (ru)
Матричная теорема о деревьях
215
3Polish (pl)
Twierdzenie Kirchhoffa
157
4Chinese (zh)
矩阵树定理
150
5French (fr)
Théorème de Kirchhoff
124
6German (de)
Satz von Kirchhoff
89
7Hebrew (he)
משפט קירכהוף
48
8Spanish (es)
Teorema de Kirchhoff
42
9Vietnamese (vi)
Định lý Kirchhoff
39
10Italian (it)
Teorema di Kirchhoff
24
More...

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

The highest AI

Language versions of the article "Kirchhoff's theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Kirchhoff's theorem
85
2Hebrew (he)
משפט קירכהוף
23
3Russian (ru)
Матричная теорема о деревьях
22
4German (de)
Satz von Kirchhoff
18
5French (fr)
Théorème de Kirchhoff
16
6Italian (it)
Teorema di Kirchhoff
16
7Danish (da)
Kirchhoffs træsætning
12
8Spanish (es)
Teorema de Kirchhoff
8
9Polish (pl)
Twierdzenie Kirchhoffa
8
10Vietnamese (vi)
Định lý Kirchhoff
8
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 "Kirchhoff's theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Kirchhoff's theorem
2
2Catalan (ca)
Teorema de Kirchhoff
0
3Danish (da)
Kirchhoffs træsætning
0
4German (de)
Satz von Kirchhoff
0
5Spanish (es)
Teorema de Kirchhoff
0
6Persian (fa)
نظریه کیرشهف
0
7French (fr)
Théorème de Kirchhoff
0
8Hebrew (he)
משפט קירכהוף
0
9Italian (it)
Teorema di Kirchhoff
0
10Polish (pl)
Twierdzenie Kirchhoffa
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 "Kirchhoff's theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Kirchhoff's theorem
28
2French (fr)
Théorème de Kirchhoff
8
3Hebrew (he)
משפט קירכהוף
8
4Ukrainian (uk)
Матрична теорема про дерева
8
5Chinese (zh)
矩阵树定理
7
6German (de)
Satz von Kirchhoff
5
7Spanish (es)
Teorema de Kirchhoff
5
8Russian (ru)
Матричная теорема о деревьях
5
9Catalan (ca)
Teorema de Kirchhoff
4
10Polish (pl)
Twierdzenie Kirchhoffa
4
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
caCatalan
Teorema de Kirchhoff
daDanish
Kirchhoffs træsætning
deGerman
Satz von Kirchhoff
enEnglish
Kirchhoff's theorem
esSpanish
Teorema de Kirchhoff
faPersian
نظریه کیرشهف
frFrench
Théorème de Kirchhoff
heHebrew
משפט קירכהוף
itItalian
Teorema di Kirchhoff
plPolish
Twierdzenie Kirchhoffa
ruRussian
Матричная теорема о деревьях
ukUkrainian
Матрична теорема про дерева
viVietnamese
Định lý Kirchhoff
zhChinese
矩阵树定理

Popularity rank trends

Best Rank English:
#291625
04.2019
Global:
#392143
04.2010

AI rank trends

Best Rank English:
#59873
04.2010
Global:
#65252
04.2010

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Kirchhoff's theorem from Wikipedia articles about Cayleys formula, Laplacian matrix, Gustav Kirchhoff, Spanning tree and BEST theorem. Whereas reading the article about Kirchhoff's theorem people most often go to Wikipedia articles on Laplacian matrix, Cauchy–Binet formula, Cayleys formula, Gustav Kirchhoff and Spanning tree.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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