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Preferential Attachment Scale-Free Growth Model with Random Fitness and Connection with Tsallis Statistics
Author(s) -
Marcelo D. S. de Meneses,
Sharon D. da Cunha,
D. J. B. Soares,
L. R. da Silva
Publication year - 2006
Publication title -
progress of theoretical physics supplement
Language(s) - English
Resource type - Journals
ISSN - 0375-9687
DOI - 10.1143/ptps.162.131
Subject(s) - preferential attachment , combinatorics , mathematics , connection (principal bundle) , log normal distribution , node (physics) , function (biology) , degree (music) , exponential function , distribution (mathematics) , random walk , statistics , physics , mathematical analysis , complex network , geometry , quantum mechanics , evolutionary biology , biology , acoustics
We introduce a network growth model in which the preferential attachment probability includes the fitness vertex and the Euclidean distance between nodes. We grow a planar network around its barycenter. Each new site is fixed in space by obeying a power law distribution.

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