Triangle-free graph

en

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Triangle-free graph

Quality:

Triangle-free graph - undirected graph in which no three vertices form a triangle of edges. Article “Triangle-free graph” in English Wikipedia has 31.7 points for quality (as of July 1, 2025). The article contains 11 references and 8 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.

In June 2025 the article “Triangle-free graph” was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article “Triangle-free graph”, its content was written by 35 registered users of English Wikipedia and edited by 74 registered Wikipedia users in all languages.

The article is cited 95 times in English Wikipedia and cited 272 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #114908 in July 2019
  • Global: #101878 in May 2014

The highest popularity rank from 2008:

  • Local (English): #473354 in November 2011
  • Global: #704864 in April 2015

There are 8 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)
Triangle-free graph
31.7294
2Hungarian (hu)
Háromszögmentes gráf
24.4006
3Ukrainian (uk)
Граф без трикутників
20.8106
4French (fr)
Graphe sans triangle
17.7812
5Portuguese (pt)
Grafos sem triangulos
13.436
6Spanish (es)
Grafos sin triángulos
12.3244
7Russian (ru)
Граф без треугольников
11.8484
8Persian (fa)
گراف آزاد-مثلث
6.0429
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 "Triangle-free graph" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Triangle-free graph
212 070
2Russian (ru)
Граф без треугольников
18 349
3Spanish (es)
Grafos sin triángulos
4 660
4Persian (fa)
گراف آزاد-مثلث
4 543
5French (fr)
Graphe sans triangle
4 204
6Portuguese (pt)
Grafos sem triangulos
3 934
7Hungarian (hu)
Háromszögmentes gráf
1 302
8Ukrainian (uk)
Граф без трикутників
891
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 "Triangle-free graph" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Triangle-free graph
1 149
2Russian (ru)
Граф без треугольников
50
3Spanish (es)
Grafos sin triángulos
26
4Hungarian (hu)
Háromszögmentes gráf
20
5Persian (fa)
گراف آزاد-مثلث
19
6French (fr)
Graphe sans triangle
14
7Portuguese (pt)
Grafos sem triangulos
13
8Ukrainian (uk)
Граф без трикутників
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 "Triangle-free graph" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Triangle-free graph
35
2Russian (ru)
Граф без треугольников
8
3Ukrainian (uk)
Граф без трикутників
7
4Persian (fa)
گراف آزاد-مثلث
6
5French (fr)
Graphe sans triangle
6
6Portuguese (pt)
Grafos sem triangulos
6
7Spanish (es)
Grafos sin triángulos
4
8Hungarian (hu)
Háromszögmentes gráf
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 "Triangle-free graph" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Triangle-free graph
1
2Spanish (es)
Grafos sin triángulos
0
3Persian (fa)
گراف آزاد-مثلث
0
4French (fr)
Graphe sans triangle
0
5Hungarian (hu)
Háromszögmentes gráf
0
6Portuguese (pt)
Grafos sem triangulos
0
7Russian (ru)
Граф без треугольников
0
8Ukrainian (uk)
Граф без трикутників
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 "Triangle-free graph" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Triangle-free graph
95
2Russian (ru)
Граф без треугольников
56
3French (fr)
Graphe sans triangle
39
4Ukrainian (uk)
Граф без трикутників
39
5Hungarian (hu)
Háromszögmentes gráf
32
6Spanish (es)
Grafos sin triángulos
7
7Persian (fa)
گراف آزاد-مثلث
2
8Portuguese (pt)
Grafos sem triangulos
2
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
Triangle-free graph
esSpanish
Grafos sin triángulos
faPersian
گراف آزاد-مثلث
frFrench
Graphe sans triangle
huHungarian
Háromszögmentes gráf
ptPortuguese
Grafos sem triangulos
ruRussian
Граф без треугольников
ukUkrainian
Граф без трикутників

Popularity rank trends

Best Rank English:
#473354
11.2011
Global:
#704864
04.2015

AI rank trends

Best Rank English:
#114908
07.2019
Global:
#101878
05.2014

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Triangle-free graph from Wikipedia articles about Girth, Turáns theorem, Four color theorem, Quantum algorithm and Triangle graph. Whereas reading the article about Triangle-free graph people most often go to Wikipedia articles on Turáns theorem, Clique, Complete bipartite graph, Grötzsch graph and Girth.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 28 January 2026

On 28 January 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2025–26 UEFA Champions League, Nipah virus, Doomsday Clock, UEFA Champions League, Elena Rybakina, Donald Trump, 2026 European Men's Handball Championship, killing of Alex Pretti, Kristi Noem, deaths in 2026.

In English Wikipedia the most popular articles on that day were: Ajit Pawar, Border 2, Sharad Pawar, Killing of Alex Pretti, Ilhan Omar, Sunetra Pawar, Todd Monken, Kristi Noem, Wonder Man (miniseries), Gregory Bovino.

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