Independent set (graph theory)

en

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Independent set (graph theory)

Quality:

Independent set - set of vertices in a graph, no two of which are adjacent. Article “Independent set (graph theory)” in English Wikipedia has 46.9 points for quality (as of July 1, 2026). The article contains 28 references and 14 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 “Independent set (graph theory)”, its content was written by 123 registered users of English Wikipedia and edited by 357 registered Wikipedia users in all languages.

The article is cited 267 times in English Wikipedia and cited 683 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #19878 in March 2004
  • Global: #6557 in December 2002

The highest popularity rank from 2008:

  • Local (English): #72271 in April 2015
  • Global: #115234 in April 2015

There are 23 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, 2026 (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)
Independent set (graph theory)
46.9197
2Czech (cs)
Nezávislá množina
42.5997
3Hungarian (hu)
Független csúcshalmaz
35.7503
4Serbian (sr)
Nezavisan skup (teorija grafova)
30.2807
5Chinese (zh)
独立集
29.403
6German (de)
Stabile Menge
28.9343
7Hebrew (he)
קבוצה בלתי תלויה (תורת הגרפים)
27.6695
8Russian (ru)
Независимое множество
27.0495
9Italian (it)
Insieme indipendente (teoria dei grafi)
24.9942
10Arabic (ar)
مجموعة مستقلة (نظرية الرسومات)
21.5284
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 "Independent set (graph theory)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Independent set (graph theory)
1 396 503
2German (de)
Stabile Menge
96 908
3French (fr)
Stable (théorie des graphes)
62 698
4Spanish (es)
Conjunto independiente
45 219
5Japanese (ja)
独立集合
44 778
6Hebrew (he)
קבוצה בלתי תלויה (תורת הגרפים)
42 766
7Portuguese (pt)
Conjunto independente
35 484
8Chinese (zh)
独立集
34 195
9Polish (pl)
Zbiór niezależny
33 400
10Italian (it)
Insieme indipendente (teoria dei grafi)
21 489
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2026

The most popular language versions of the article "Independent set (graph theory)" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Independent set (graph theory)
2 556
2Chinese (zh)
独立集
204
3German (de)
Stabile Menge
182
4Japanese (ja)
独立集合
111
5French (fr)
Stable (théorie des graphes)
79
6Polish (pl)
Zbiór niezależny
76
7Hebrew (he)
קבוצה בלתי תלויה (תורת הגרפים)
62
8Spanish (es)
Conjunto independiente
50
9Italian (it)
Insieme indipendente (teoria dei grafi)
45
10Russian (ru)
Независимое множество
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 "Independent set (graph theory)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Independent set (graph theory)
123
2German (de)
Stabile Menge
49
3French (fr)
Stable (théorie des graphes)
21
4Hebrew (he)
קבוצה בלתי תלויה (תורת הגרפים)
19
5Italian (it)
Insieme indipendente (teoria dei grafi)
17
6Portuguese (pt)
Conjunto independente
17
7Chinese (zh)
独立集
17
8Czech (cs)
Nezávislá množina
14
9Indonesian (id)
Himpunan bebas (teori graf)
11
10Spanish (es)
Conjunto independiente
10
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 2026

Language versions of the article "Independent set (graph theory)" with the highest AI in June 2026
#LanguageAI awardRelative AI
1Czech (cs)
Nezávislá množina
1
2Arabic (ar)
مجموعة مستقلة (نظرية الرسومات)
0
3German (de)
Stabile Menge
0
4English (en)
Independent set (graph theory)
0
5Spanish (es)
Conjunto independiente
0
6Persian (fa)
مجموعه مستقل
0
7French (fr)
Stable (théorie des graphes)
0
8Hebrew (he)
קבוצה בלתי תלויה (תורת הגרפים)
0
9Hungarian (hu)
Független csúcshalmaz
0
10Indonesian (id)
Himpunan bebas (teori graf)
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 "Independent set (graph theory)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Independent set (graph theory)
267
2Japanese (ja)
独立集合
64
3Hungarian (hu)
Független csúcshalmaz
49
4French (fr)
Stable (théorie des graphes)
44
5Spanish (es)
Conjunto independiente
41
6German (de)
Stabile Menge
31
7Chinese (zh)
独立集
30
8Italian (it)
Insieme indipendente (teoria dei grafi)
29
9Portuguese (pt)
Conjunto independente
23
10Persian (fa)
مجموعه مستقل
22
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2026:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2026:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
مجموعة مستقلة (نظرية الرسومات)
csCzech
Nezávislá množina
deGerman
Stabile Menge
enEnglish
Independent set (graph theory)
esSpanish
Conjunto independiente
faPersian
مجموعه مستقل
frFrench
Stable (théorie des graphes)
heHebrew
קבוצה בלתי תלויה (תורת הגרפים)
huHungarian
Független csúcshalmaz
idIndonesian
Himpunan bebas (teori graf)
itItalian
Insieme indipendente (teoria dei grafi)
jaJapanese
独立集合
koKorean
독립집합
nlDutch
Onafhankelijke verzameling
plPolish
Zbiór niezależny
ptPortuguese
Conjunto independente
ruRussian
Независимое множество
skSlovak
Nezávislá množina
srSerbian
Nezavisan skup (teorija grafova)
svSwedish
Oberoende mängd
thThai
เซตอิสระ
viVietnamese
Tổ hợp độc lập
zhChinese
独立集

Popularity rank trends

Best Rank English:
#72271
04.2015
Global:
#115234
04.2015

AI rank trends

Best Rank English:
#19878
03.2004
Global:
#6557
12.2002

Global AI rank history

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Independent set from Wikipedia articles about Maximal independent set, Stable set, Bipartite graph, Vertex cover and NP-complete. Whereas reading the article about Independent set people most often go to Wikipedia articles on Maximal independent set, Strong NP-completeness, Clique, Vertex cover and Clique problem.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information