Wagner's theorem

en

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Wagner's theorem

Quality:

Wagner's theorem - characterization theorem in graph theory of planar graphs. Article “Wagner's theorem” in English Wikipedia has 24.8 points for quality (as of July 1, 2025). The article contains 6 references and 4 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 “Wagner's theorem”, its content was written by 13 registered users of English Wikipedia and edited by 35 registered Wikipedia users in all languages.

The article is cited 31 times in English Wikipedia and cited 85 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #92698 in December 2020
  • Global: #195131 in October 2016

The highest popularity rank from 2008:

  • Local (English): #697500 in November 2013
  • Global: #1124820 in April 2022

There are 6 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)
Wagner's theorem
24.8405
2German (de)
Satz von Wagner
22.9904
3Chinese (zh)
瓦格纳定理
21.9528
4Ukrainian (uk)
Теорема Вагнера
21.0388
5Spanish (es)
Teorema de Wagner
18.4225
6Russian (ru)
Теорема Вагнера
16.9273
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 "Wagner's theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Wagner's theorem
79 146
2Russian (ru)
Теорема Вагнера
12 551
3German (de)
Satz von Wagner
5 262
4Chinese (zh)
瓦格纳定理
2 041
5Spanish (es)
Teorema de Wagner
783
6Ukrainian (uk)
Теорема Вагнера
380
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 "Wagner's theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Wagner's theorem
753
2Russian (ru)
Теорема Вагнера
111
3German (de)
Satz von Wagner
57
4Chinese (zh)
瓦格纳定理
32
5Spanish (es)
Teorema de Wagner
28
6Ukrainian (uk)
Теорема Вагнера
7
More...

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

The highest AI

Language versions of the article "Wagner's theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Wagner's theorem
13
2Russian (ru)
Теорема Вагнера
8
3German (de)
Satz von Wagner
7
4Chinese (zh)
瓦格纳定理
4
5Spanish (es)
Teorema de Wagner
2
6Ukrainian (uk)
Теорема Вагнера
1
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 "Wagner's theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Satz von Wagner
0
2English (en)
Wagner's theorem
0
3Spanish (es)
Teorema de Wagner
0
4Russian (ru)
Теорема Вагнера
0
5Ukrainian (uk)
Теорема Вагнера
0
6Chinese (zh)
瓦格纳定理
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 "Wagner's theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Wagner's theorem
31
2Russian (ru)
Теорема Вагнера
21
3Ukrainian (uk)
Теорема Вагнера
15
4Chinese (zh)
瓦格纳定理
7
5German (de)
Satz von Wagner
6
6Spanish (es)
Teorema de Wagner
5
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
deGerman
Satz von Wagner
enEnglish
Wagner's theorem
esSpanish
Teorema de Wagner
ruRussian
Теорема Вагнера
ukUkrainian
Теорема Вагнера
zhChinese
瓦格纳定理

Popularity rank trends

Best Rank English:
#697500
11.2013
Global:
#1124820
04.2022

AI rank trends

Best Rank English:
#92698
12.2020
Global:
#195131
10.2016

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Wagner's theorem from Wikipedia articles about Kuratowskis theorem, Minor graph, Planar graph, Robertson–Seymour theorem and Outerplanar graph. Whereas reading the article about Wagner's theorem people most often go to Wikipedia articles on Minor graph, Robertson–Seymour theorem, Kuratowskis theorem, Klaus Wagner and Forbidden graph characterization.

Cumulative results of quality and popularity of the Wikipedia article

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

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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