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Statistical physics of social networking

[Submitted on 2 Jun 2020 (v1), last revised 15 Jan 2021 (this version, v3)]

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Abstract: In this work we make an attempt to understand social networks from a
mathematical viewpoint. In the first instance we consider a network where each
node representing an individual can connect with a neighbouring node with a
certain probability along with connecting with individuals who are friends of
friends. We find that above a particular value of a chosen combination of
parameters, the probability of connection between two widely separated nodes is
a scale free. We next consider a simplified case of online social media
networks in which each individual adds at a friends at constant probability per
unit time: friends from a suggested neighbourhood as well as from his/her
friendlist. We find that in the limit of large times since formation of the
network, the probability of connection between two widely separated individuals
is a scale free quantity. We hence, demonstrate a different scale free facet of
networks not discussed before in literature.

Submission history

From: Vaibhav Wasnik [view email]

[v1]
Tue, 2 Jun 2020 13:45:08 UTC (6 KB)

[v2]
Wed, 5 Aug 2020 06:54:00 UTC (0 KB)

[v3]
Fri, 15 Jan 2021 13:30:12 UTC (0 KB)

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