Spectral graph theory

en

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Spectral graph theory

Quality:

Spectral graph theory - the study of the properties of a graph in relationship to matrices associated with the graph. Article “Spectral graph theory” in English Wikipedia has 44 points for quality (as of July 1, 2025). The article contains 25 references and 12 sections.

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

Since the creation of article “Spectral graph theory”, its content was written by 79 registered users of English Wikipedia and edited by 154 registered Wikipedia users in all languages.

The article is cited 100 times in English Wikipedia and cited 424 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #20236 in March 2004
  • Global: #49654 in March 2004

The highest popularity rank from 2008:

  • Local (English): #225415 in April 2013
  • Global: #353950 in April 2013

There are 13 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)
譜圖論
47.1792
2English (en)
Spectral graph theory
43.9731
3Hungarian (hu)
Spektrális gráfelmélet
37.2411
4Portuguese (pt)
Teoria espectral de grafos
34.4223
5Ukrainian (uk)
Спектральна теорія графів
33.1376
6Russian (ru)
Спектральная теория графов
24.7906
7Catalan (ca)
Teoria espectral de grafs
24.6478
8French (fr)
Théorie spectrale des graphes
19.9592
9Persian (fa)
نظریه طیفی گراف‌ها
13.7511
10Japanese (ja)
スペクトルグラフ理論
12.8861
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 "Spectral graph theory" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Spectral graph theory
642 483
2French (fr)
Théorie spectrale des graphes
41 121
3Portuguese (pt)
Teoria espectral de grafos
21 992
4Russian (ru)
Спектральная теория графов
19 796
5Japanese (ja)
スペクトルグラフ理論
13 045
6Persian (fa)
نظریه طیفی گراف‌ها
6 846
7Chinese (zh)
譜圖論
6 796
8Spanish (es)
Teoría espectral de grafos
2 874
9Slovenian (sl)
Spektralna teorija grafov
2 059
10Slovak (sk)
Spektrálna teória grafov
1 697
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 "Spectral graph theory" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Spectral graph theory
3 262
2French (fr)
Théorie spectrale des graphes
226
3Japanese (ja)
スペクトルグラフ理論
182
4Russian (ru)
Спектральная теория графов
140
5Chinese (zh)
譜圖論
140
6Spanish (es)
Teoría espectral de grafos
62
7Portuguese (pt)
Teoria espectral de grafos
40
8Hungarian (hu)
Spektrális gráfelmélet
18
9Ukrainian (uk)
Спектральна теорія графів
10
10Slovenian (sl)
Spektralna teorija grafov
9
More...

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

The highest AI

Language versions of the article "Spectral graph theory" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Spectral graph theory
79
2French (fr)
Théorie spectrale des graphes
25
3Russian (ru)
Спектральная теория графов
10
4Portuguese (pt)
Teoria espectral de grafos
7
5Japanese (ja)
スペクトルグラフ理論
6
6Ukrainian (uk)
Спектральна теорія графів
6
7Persian (fa)
نظریه طیفی گراف‌ها
5
8Hungarian (hu)
Spektrális gráfelmélet
5
9Chinese (zh)
譜圖論
5
10Spanish (es)
Teoría espectral de grafos
2
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 "Spectral graph theory" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Teoria espectral de grafs
0
2English (en)
Spectral graph theory
0
3Spanish (es)
Teoría espectral de grafos
0
4Persian (fa)
نظریه طیفی گراف‌ها
0
5French (fr)
Théorie spectrale des graphes
0
6Hungarian (hu)
Spektrális gráfelmélet
0
7Japanese (ja)
スペクトルグラフ理論
0
8Portuguese (pt)
Teoria espectral de grafos
0
9Russian (ru)
Спектральная теория графов
0
10Slovak (sk)
Spektrálna teória grafov
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 "Spectral graph theory" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Ukrainian (uk)
Спектральна теорія графів
117
2English (en)
Spectral graph theory
100
3French (fr)
Théorie spectrale des graphes
76
4Russian (ru)
Спектральная теория графов
40
5Hungarian (hu)
Spektrális gráfelmélet
18
6Spanish (es)
Teoría espectral de grafos
13
7Persian (fa)
نظریه طیفی گراف‌ها
12
8Japanese (ja)
スペクトルグラフ理論
11
9Chinese (zh)
譜圖論
11
10Catalan (ca)
Teoria espectral de grafs
8
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
Teoria espectral de grafs
enEnglish
Spectral graph theory
esSpanish
Teoría espectral de grafos
faPersian
نظریه طیفی گراف‌ها
frFrench
Théorie spectrale des graphes
huHungarian
Spektrális gráfelmélet
jaJapanese
スペクトルグラフ理論
ptPortuguese
Teoria espectral de grafos
ruRussian
Спектральная теория графов
skSlovak
Spektrálna teória grafov
slSlovenian
Spektralna teorija grafov
ukUkrainian
Спектральна теорія графів
zhChinese
譜圖論

Popularity rank trends

Best Rank English:
#225415
04.2013
Global:
#353950
04.2013

AI rank trends

Best Rank English:
#20236
03.2004
Global:
#49654
03.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Spectral graph theory from Wikipedia articles about Adjacency matrix, Algebraic graph theory, Laplacian matrix, Lothar Collatz and Characteristic polynomial. Whereas reading the article about Spectral graph theory people most often go to Wikipedia articles on Laplacian matrix, Algebraic graph theory, Spectrum of a matrix, Cheeger constant and Spectral clustering.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 15 February 2026

On 15 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Wuthering Heights, 2026 Winter Olympics, Epstein files, Ilia Malinin, Wuthering Heights, Ghislaine Maxwell, Lucas Pinheiro Braathen, 2026 Winter Olympics medal table, Valentine's Day.

In English Wikipedia the most popular articles on that day were: Jeffrey Epstein, Wuthering Heights, Wuthering Heights (2026 film), 2026 Winter Olympics, Lucas Pinheiro Braathen, Ice hockey at the 2026 Winter Olympics – Men's tournament, Epstein files, John F. Kennedy Jr., Anthony Kim, James Van Der Beek.

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