Cheeger constant (graph theory)

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Cheeger constant (graph theory)

Quality:

Cheeger constant - nonnegative-rational-valued invariant of undirected finite graphs; graph-theoretic analogue of the Cheeger constant for compact Riemannian manifolds. Article “Cheeger constant (graph theory)” in English Wikipedia has 18.8 points for quality (as of July 1, 2025). The article contains 2 references and 6 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 0.99 points.

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 “Cheeger constant (graph theory)”, its content was written by 33 registered users of English Wikipedia and edited by 44 registered Wikipedia users in all languages.

The article is cited 19 times in English Wikipedia and cited 46 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #200718 in November 2006
  • Global: #249480 in July 2022

The highest popularity rank from 2008:

  • Local (English): #196598 in March 2020
  • Global: #348966 in March 2020

There are 4 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)
Cheeger constant (graph theory)
18.8075
2Ukrainian (uk)
Стала Чіґера (теорія графів)
14.0939
3Russian (ru)
Константа Чигера (теория графов)
12.7488
4Hungarian (hu)
Cheeger-állandó
10.6547
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 "Cheeger constant (graph theory)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Cheeger constant (graph theory)
140 084
2Russian (ru)
Константа Чигера (теория графов)
3 143
3Hungarian (hu)
Cheeger-állandó
342
4Ukrainian (uk)
Стала Чіґера (теорія графів)
142
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 "Cheeger constant (graph theory)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Cheeger constant (graph theory)
1 191
2Russian (ru)
Константа Чигера (теория графов)
16
3Hungarian (hu)
Cheeger-állandó
11
4Ukrainian (uk)
Стала Чіґера (теорія графів)
4
More...

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

The highest AI

Language versions of the article "Cheeger constant (graph theory)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Cheeger constant (graph theory)
33
2Russian (ru)
Константа Чигера (теория графов)
8
3Ukrainian (uk)
Стала Чіґера (теорія графів)
2
4Hungarian (hu)
Cheeger-állandó
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 "Cheeger constant (graph theory)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Cheeger constant (graph theory)
0
2Hungarian (hu)
Cheeger-állandó
0
3Russian (ru)
Константа Чигера (теория графов)
0
4Ukrainian (uk)
Стала Чіґера (теорія графів)
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 "Cheeger constant (graph theory)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Cheeger constant (graph theory)
19
2Ukrainian (uk)
Стала Чіґера (теорія графів)
14
3Hungarian (hu)
Cheeger-állandó
7
4Russian (ru)
Константа Чигера (теория графов)
6
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
enEnglish
Cheeger constant (graph theory)
huHungarian
Cheeger-állandó
ruRussian
Константа Чигера (теория графов)
ukUkrainian
Стала Чіґера (теорія графів)

Popularity rank trends

Best Rank English:
#196598
03.2020
Global:
#348966
03.2020

AI rank trends

Best Rank English:
#200718
11.2006
Global:
#249480
07.2022

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Cheeger constant from Wikipedia articles about Spectral gap, Cheeger constant, Expander graph, Laplacian matrix and Conductance. Whereas reading the article about Cheeger constant people most often go to Wikipedia articles on Expander graph, Spectral graph theory, Spectral gap, Jeff Cheeger and Cheeger constant.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 26 September 2025

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In English Wikipedia the most popular articles on that day were: Google Chrome, Assata Shakur, James Comey, Voddie Baucham, They Call Him OG, Wounded Knee Massacre, Deaths in 2025, Ryder Cup, House of Guinness, Snake Eyes (1998 film).

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