2018
DOI: 10.1051/matecconf/201821402001
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Semi-empirical Theory of Distributions of Users of Social Online Networks by the Number of Contacts

Abstract: Based on the empirical analysis of contacts in the social network VKontakte, quantitative patterns are established that describe the distribution of users of social networks by the number of contacts (the number of friends). The parameter entering into the differential equation, whose solution is the proposed distribution, makes sense, similar to the Dunbar number and approximately coincides with it in magnitude. The fact that parameters characterizing a given distribution, depending on the size of the communi… Show more

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Cited by 3 publications
(6 citation statements)
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“…It is seen that the character of the obtained curves coincides with the character of the results obtained earlier [13]. The dots in these figures show the experimental data, the solid curves are the result of using formula (2).…”
Section: Resultssupporting
confidence: 82%
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“…It is seen that the character of the obtained curves coincides with the character of the results obtained earlier [13]. The dots in these figures show the experimental data, the solid curves are the result of using formula (2).…”
Section: Resultssupporting
confidence: 82%
“…where, 𝛽𝛽 = 1 𝛼𝛼−1 and the normalization multiplier А is used. As it was shown in work [13], the curve (2) adequately describes the distribution of the contacts number ("friends") of the social network "VKontakte" users for the following cities: Almaty, Moscow, Kiev, Pavlodar, Novosibirsk. On this basis, in this work, the same technique was applied to data that related to some other cities of the post-Soviet space (Yekaterinburg, St. Petersburg, Tashkent).…”
Section: Experimental Data Processing Techniquementioning
confidence: 71%
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