Cycle (graph theory)

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Cycle (graph theory)

Quality:

Cycle - in graph theory, non-empty trail in which only the first and last vertices are equal. Article “Cycle (graph theory)” in English Wikipedia has 40.2 points for quality (as of July 1, 2026). The article contains 18 references and 11 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 2026 the article “Cycle (graph theory)” was edited by 2 authors in English Wikipedia and written by 4 authors in all languages.

Since the creation of article “Cycle (graph theory)”, its content was written by 77 registered users of English Wikipedia and edited by 322 registered Wikipedia users in all languages.

The article is cited 312 times in English Wikipedia and cited 1359 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #19478 in January 2003
  • Global: #13220 in November 2002

The highest popularity rank from 2008:

  • Local (English): #79775 in November 2014
  • Global: #95616 in November 2019

There are 22 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)
Cycle (graph theory)
40.15
2Chinese (zh)
環 (圖論)
37.0472
3Tamil (ta)
சுழற்சி (கோட்டுருவியல்)
36.4415
4Esperanto (eo)
Ciklo (grafeoteorio)
31.7253
5Ukrainian (uk)
Цикл (теорія графів)
25.6081
6Portuguese (pt)
Ciclo (teoria de grafos)
24.8575
7Croatian (hr)
Ciklus (teorija grafova)
23.5606
8German (de)
Zyklus (Graphentheorie)
22.5265
9Galician (gl)
Ciclo (teoría de grafos)
22.5162
10Arabic (ar)
دورة (نظرية البيان)
22.2518
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 "Cycle (graph theory)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Cycle (graph theory)
1 432 679
2German (de)
Zyklus (Graphentheorie)
235 936
3Russian (ru)
Цикл (теория графов)
208 309
4Polish (pl)
Cykl (teoria grafów)
159 081
5French (fr)
Cycle (théorie des graphes)
104 101
6Japanese (ja)
閉路
99 749
7Vietnamese (vi)
Chu trình (lý thuyết đồ thị)
67 838
8Chinese (zh)
環 (圖論)
34 781
9Romanian (ro)
Ciclu (teoria grafurilor)
27 334
10Portuguese (pt)
Ciclo (teoria de grafos)
25 773
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 "Cycle (graph theory)" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Cycle (graph theory)
2 444
2German (de)
Zyklus (Graphentheorie)
406
3Polish (pl)
Cykl (teoria grafów)
308
4Russian (ru)
Цикл (теория графов)
271
5French (fr)
Cycle (théorie des graphes)
229
6Chinese (zh)
環 (圖論)
180
7Japanese (ja)
閉路
131
8Vietnamese (vi)
Chu trình (lý thuyết đồ thị)
104
9Portuguese (pt)
Ciclo (teoria de grafos)
74
10Hungarian (hu)
Kör (gráfelmélet)
57
More...

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

The highest AI

Language versions of the article "Cycle (graph theory)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Cycle (graph theory)
77
2German (de)
Zyklus (Graphentheorie)
50
3French (fr)
Cycle (théorie des graphes)
28
4Japanese (ja)
閉路
20
5Polish (pl)
Cykl (teoria grafów)
20
6Hungarian (hu)
Kör (gráfelmélet)
16
7Russian (ru)
Цикл (теория графов)
16
8Vietnamese (vi)
Chu trình (lý thuyết đồ thị)
16
9Chinese (zh)
環 (圖論)
16
10Ukrainian (uk)
Цикл (теорія графів)
15
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 "Cycle (graph theory)" with the highest AI in June 2026
#LanguageAI awardRelative AI
1English (en)
Cycle (graph theory)
2
2Arabic (ar)
دورة (نظرية البيان)
1
3Korean (ko)
순환 (그래프 이론)
1
4Danish (da)
Kreds (graf)
0
5German (de)
Zyklus (Graphentheorie)
0
6Esperanto (eo)
Ciklo (grafeoteorio)
0
7Persian (fa)
دور (نظریه گراف)
0
8French (fr)
Cycle (théorie des graphes)
0
9Galician (gl)
Ciclo (teoría de grafos)
0
10Croatian (hr)
Ciklus (teorija grafova)
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 "Cycle (graph theory)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Cycle (graph theory)
312
2French (fr)
Cycle (théorie des graphes)
211
3German (de)
Zyklus (Graphentheorie)
113
4Polish (pl)
Cykl (teoria grafów)
108
5Japanese (ja)
閉路
103
6Ukrainian (uk)
Цикл (теорія графів)
102
7Russian (ru)
Цикл (теория графов)
87
8Chinese (zh)
環 (圖論)
71
9Hungarian (hu)
Kör (gráfelmélet)
46
10Portuguese (pt)
Ciclo (teoria de grafos)
39
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
دورة (نظرية البيان)
daDanish
Kreds (graf)
deGerman
Zyklus (Graphentheorie)
enEnglish
Cycle (graph theory)
eoEsperanto
Ciklo (grafeoteorio)
faPersian
دور (نظریه گراف)
frFrench
Cycle (théorie des graphes)
glGalician
Ciclo (teoría de grafos)
hrCroatian
Ciklus (teorija grafova)
huHungarian
Kör (gráfelmélet)
jaJapanese
閉路
koKorean
순환 (그래프 이론)
plPolish
Cykl (teoria grafów)
ptPortuguese
Ciclo (teoria de grafos)
roRomanian
Ciclu (teoria grafurilor)
ruRussian
Цикл (теория графов)
srSerbian
Циклус (теорија графова)
svSwedish
Cykel (grafteori)
taTamil
சுழற்சி (கோட்டுருவியல்)
ukUkrainian
Цикл (теорія графів)
viVietnamese
Chu trình (lý thuyết đồ thị)
zhChinese
環 (圖論)

Popularity rank trends

Best Rank English:
#79775
11.2014
Global:
#95616
11.2019

AI rank trends

Best Rank English:
#19478
01.2003
Global:
#13220
11.2002

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Cycle from Wikipedia articles about Tree, Cyclic graph, Hamiltonian path, Cycle graph and Bipartite graph. Whereas reading the article about Cycle people most often go to Wikipedia articles on Path, Cycle graph, Directed acyclic graph, Tree and Graph.

Cumulative results of quality and popularity of the Wikipedia article

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

ja: 閉路

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