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Preprints of the Keldysh Institute of Applied Mathematics, 2013, 095, 16 pp.
(Mi ipmp1845)
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This article is cited in 5 scientific papers (total in 5 papers)
The model of social network growth
A. V. Podlazov, D. P. Shchetinina
Abstract:
We propose a new model of social network growth. This model bases on the following assumptions: the random attachment of new vertices, the preferential choice of vertices for creating links with existing vertices and the restriction of the second ends of these links by the neighbors of the neighbors.
The model generates the graph with power-law distributed vertices degree. The exponent of the distribution varies in a wide range.
We give a mean-field quasi-linear description for the model. This description allows to claim essential customization of high-order vertices and to propose a number of approximations for the results of simulations.
Keywords:
small-worlds, social networks, scale invariance, power laws, vertex correlation, cauterization, concurrency growth, preferential attachment.
Citation:
A. V. Podlazov, D. P. Shchetinina, “The model of social network growth”, Keldysh Institute preprints, 2013, 095, 16 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp1845 https://www.mathnet.ru/eng/ipmp/y2013/p95
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Abstract page: | 182 | Full-text PDF : | 101 | References: | 14 |
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