Necklace polynomial

en

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Necklace polynomial

Quality:

Necklace polynomial - Number of arrangements on a necklace of n colored beads having α available colors. Article “Necklace polynomial” in English Wikipedia has 15.4 points for quality (as of July 1, 2025). The article contains 3 references and 6 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 “Necklace polynomial”, its content was written by 28 registered users of English Wikipedia and edited by 35 registered Wikipedia users in all languages.

The article is cited 18 times in English Wikipedia and cited 21 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #43432 in June 2011
  • Global: #74714 in January 2004

The highest popularity rank from 2008:

  • Local (English): #905315 in March 2014
  • Global: #1617728 in March 2014

There are 3 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)
Necklace polynomial
15.4002
2Russian (ru)
Многочлен ожерелья
10.3046
3Japanese (ja)
ネックレス多項式
6.3054
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 "Necklace polynomial" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Necklace polynomial
51 638
2Japanese (ja)
ネックレス多項式
1 473
3Russian (ru)
Многочлен ожерелья
558
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 "Necklace polynomial" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Necklace polynomial
683
2Japanese (ja)
ネックレス多項式
27
3Russian (ru)
Многочлен ожерелья
12
More...

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

The highest AI

Language versions of the article "Necklace polynomial" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Necklace polynomial
28
2Russian (ru)
Многочлен ожерелья
5
3Japanese (ja)
ネックレス多項式
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 "Necklace polynomial" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Necklace polynomial
0
2Japanese (ja)
ネックレス多項式
0
3Russian (ru)
Многочлен ожерелья
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 "Necklace polynomial" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Necklace polynomial
18
2Japanese (ja)
ネックレス多項式
2
3Russian (ru)
Многочлен ожерелья
1
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
Necklace polynomial
jaJapanese
ネックレス多項式
ruRussian
Многочлен ожерелья

Popularity rank trends

Best Rank English:
#905315
03.2014
Global:
#1617728
03.2014

AI rank trends

Best Rank English:
#43432
06.2011
Global:
#74714
01.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Necklace polynomial from Wikipedia articles about Burnsides lemma, Necklace, Irreducible polynomial, Lyndon word and Necklace ring. Whereas reading the article about Necklace polynomial people most often go to Wikipedia articles on Möbius function, Möbius inversion formula, Necklace, Necklace ring and Eulers totient function.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 5 March 2026

On 5 March 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Iran, Ali Khamenei, 2026 Iran war, Jeffrey Epstein, Kurds, Strait of Hormuz, Yakovlev Yak-130, Donald Trump, Azerbaijan, Kristi Noem.

In English Wikipedia the most popular articles on that day were: Markwayne Mullin, Kristi Noem, 2026 Iran war, Ali Khamenei, Lou Holtz, Men's T20 World Cup, Iran, IRIS Dena, Corey Lewandowski, Deaths in 2026.

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