Birkhoff polytope

en

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Birkhoff polytope

Quality:

Birkhoff polytope - polytope. Article “Birkhoff polytope” in English Wikipedia has 35.3 points for quality (as of July 1, 2025). The article contains 14 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.

Since the creation of article “Birkhoff polytope”, its content was written by 31 registered users of English Wikipedia and edited by 53 registered Wikipedia users in all languages.

The article is cited 15 times in English Wikipedia and cited 25 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #120268 in November 2019
  • Global: #294568 in April 2021

The highest popularity rank from 2008:

  • Local (English): #708847 in July 2010
  • Global: #1100293 in July 2010

There are 5 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)
Birkhoff polytope
35.2766
2Ukrainian (uk)
Многогранник Біркгофа
33.9504
3Greek (el)
Πολύτοπο Μπίρκοφ
33.0236
4Russian (ru)
Многогранник Биркгофа
24.153
5Vietnamese (vi)
Hình đa diện Birkhoff
11.6344
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 "Birkhoff polytope" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Birkhoff polytope
78 969
2Russian (ru)
Многогранник Биркгофа
4 224
3Ukrainian (uk)
Многогранник Біркгофа
204
4Vietnamese (vi)
Hình đa diện Birkhoff
204
5Greek (el)
Πολύτοπο Μπίρκοφ
65
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 "Birkhoff polytope" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Birkhoff polytope
646
2Russian (ru)
Многогранник Биркгофа
26
3Greek (el)
Πολύτοπο Μπίρκοφ
7
4Vietnamese (vi)
Hình đa diện Birkhoff
7
5Ukrainian (uk)
Многогранник Біркгофа
3
More...

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

The highest AI

Language versions of the article "Birkhoff polytope" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Birkhoff polytope
31
2Vietnamese (vi)
Hình đa diện Birkhoff
11
3Russian (ru)
Многогранник Биркгофа
6
4Ukrainian (uk)
Многогранник Біркгофа
4
5Greek (el)
Πολύτοπο Μπίρκοφ
1
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 "Birkhoff polytope" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Greek (el)
Πολύτοπο Μπίρκοφ
0
2English (en)
Birkhoff polytope
0
3Russian (ru)
Многогранник Биркгофа
0
4Ukrainian (uk)
Многогранник Біркгофа
0
5Vietnamese (vi)
Hình đa diện Birkhoff
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 "Birkhoff polytope" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Birkhoff polytope
15
2Ukrainian (uk)
Многогранник Біркгофа
6
3Russian (ru)
Многогранник Биркгофа
4
4Greek (el)
Πολύτοπο Μπίρκοφ
0
5Vietnamese (vi)
Hình đa diện Birkhoff
0
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
elGreek
Πολύτοπο Μπίρκοφ
enEnglish
Birkhoff polytope
ruRussian
Многогранник Биркгофа
ukUkrainian
Многогранник Біркгофа
viVietnamese
Hình đa diện Birkhoff

Popularity rank trends

Best Rank English:
#708847
07.2010
Global:
#1100293
07.2010

AI rank trends

Best Rank English:
#120268
11.2019
Global:
#294568
04.2021

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Birkhoff polytope from Wikipedia articles about Doubly stochastic matrix, Permutation matrix, Permutohedron, Birkhoff algorithm and Polyhedral combinatorics. Whereas reading the article about Birkhoff polytope people most often go to Wikipedia articles on Doubly stochastic matrix, Garrett Birkhoff, Convex polytope, Birkhoff algorithm and Permutohedron.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 16 March 2026

On 16 March 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 98th Academy Awards, Michael B. Jordan, Sinners, Jessie Buckley, Paul Thomas Anderson, Sean Penn, One Battle After Another, Amy Madigan, Hamnet, Timothée Chalamet.

In English Wikipedia the most popular articles on that day were: 98th Academy Awards, Michael B. Jordan, Paul Thomas Anderson, Jessie Buckley, Sinners (2025 film), Amy Madigan, Autumn Durald Arkapaw, Maya Rudolph, Sean Penn, Academy Awards.

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