Laplacian matrix

en

WikiRank.net
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Laplacian matrix

Quality:

Laplacian matrix - matrix representation of a graph. Article "Laplacian matrix" in English Wikipedia has 59.2 points for quality (as of July 1, 2025). The article contains 20 references and 23 sections.

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

Since the creation of article "Laplacian matrix", its content was written by 122 registered users of English Wikipedia and edited by 244 registered Wikipedia users in all languages.

The article is cited 220 times in English Wikipedia and cited 545 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #22777 in February 2022
  • Global: #76394 in December 2016

The highest popularity rank from 2008:

  • Local (English): #81176 in March 2015
  • Global: #127808 in April 2022

There are 19 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)
Laplacian matrix
59.238
2Chinese (zh)
调和矩阵
37.7806
3Portuguese (pt)
Matriz Laplaciana
36.721
4Tamil (ta)
இலாப்லாசிய அணி
29.1924
5Korean (ko)
그래프 라플라스 연산자
26.8801
6Hebrew (he)
מטריצת לפלסיאן
24.9739
7Japanese (ja)
ラプラシアン行列
22.3755
8Catalan (ca)
Matriu laplaciana
20.2204
9Slovenian (sl)
Laplaceova matrika
18.5149
10Spanish (es)
Matriz laplaciana
17.6795
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 "Laplacian matrix" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Laplacian matrix
1 735 412
2Russian (ru)
Матрица Кирхгофа
80 313
3French (fr)
Matrice laplacienne
61 845
4German (de)
Laplace-Matrix
45 460
5Japanese (ja)
ラプラシアン行列
44 603
6Chinese (zh)
调和矩阵
39 405
7Spanish (es)
Matriz laplaciana
27 865
8Italian (it)
Matrice laplaciana
11 995
9Hebrew (he)
מטריצת לפלסיאן
9 103
10Vietnamese (vi)
Ma trận Laplace
8 877
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 "Laplacian matrix" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Laplacian matrix
8 112
2Japanese (ja)
ラプラシアン行列
483
3Chinese (zh)
调和矩阵
290
4Russian (ru)
Матрица Кирхгофа
286
5French (fr)
Matrice laplacienne
284
6German (de)
Laplace-Matrix
236
7Spanish (es)
Matriz laplaciana
137
8Italian (it)
Matrice laplaciana
70
9Portuguese (pt)
Matriz Laplaciana
65
10Korean (ko)
그래프 라플라스 연산자
41
More...

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

The highest AI

Language versions of the article "Laplacian matrix" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Laplacian matrix
122
2French (fr)
Matrice laplacienne
31
3Russian (ru)
Матрица Кирхгофа
17
4German (de)
Laplace-Matrix
10
5Italian (it)
Matrice laplaciana
9
6Chinese (zh)
调和矩阵
8
7Japanese (ja)
ラプラシアン行列
7
8Hebrew (he)
מטריצת לפלסיאן
6
9Spanish (es)
Matriz laplaciana
5
10Finnish (fi)
Laplacen matriisi
5
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 "Laplacian matrix" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Italian (it)
Matrice laplaciana
1
2Arabic (ar)
مصفوفة لابلاس
0
3Catalan (ca)
Matriu laplaciana
0
4German (de)
Laplace-Matrix
0
5English (en)
Laplacian matrix
0
6Spanish (es)
Matriz laplaciana
0
7Finnish (fi)
Laplacen matriisi
0
8French (fr)
Matrice laplacienne
0
9Hebrew (he)
מטריצת לפלסיאן
0
10Japanese (ja)
ラプラシアン行列
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 "Laplacian matrix" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Laplacian matrix
220
2Slovenian (sl)
Laplaceova matrika
113
3French (fr)
Matrice laplacienne
90
4Russian (ru)
Матрица Кирхгофа
20
5Ukrainian (uk)
Матриця Кірхгофа
18
6Chinese (zh)
调和矩阵
15
7German (de)
Laplace-Matrix
13
8Spanish (es)
Matriz laplaciana
11
9Japanese (ja)
ラプラシアン行列
8
10Catalan (ca)
Matriu laplaciana
7
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
arArabic
مصفوفة لابلاس
caCatalan
Matriu laplaciana
deGerman
Laplace-Matrix
enEnglish
Laplacian matrix
esSpanish
Matriz laplaciana
fiFinnish
Laplacen matriisi
frFrench
Matrice laplacienne
heHebrew
מטריצת לפלסיאן
itItalian
Matrice laplaciana
jaJapanese
ラプラシアン行列
koKorean
그래프 라플라스 연산자
ptPortuguese
Matriz Laplaciana
ruRussian
Матрица Кирхгофа
slSlovenian
Laplaceova matrika
svSwedish
Laplacematris
taTamil
இலாப்லாசிய அணி
ukUkrainian
Матриця Кірхгофа
viVietnamese
Ma trận Laplace
zhChinese
调和矩阵

Popularity rank trends

Best Rank English:
#81176
03.2015
Global:
#127808
04.2022

AI rank trends

Best Rank English:
#22777
02.2022
Global:
#76394
12.2016

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Laplacian matrix from Wikipedia articles about Adjacency matrix, Spectral graph theory, Kirchhoffs theorem, Spectral clustering and Discrete Laplace operator. Whereas reading the article about Laplacian matrix people most often go to Wikipedia articles on Discrete Laplace operator, Degree matrix, Adjacency matrix, Kirchhoffs theorem and Moore–Penrose inverse.

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