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arXiv · 1103.1009

Tsallis mapping in growing complex networks with fitness

Guifeng Su·Xiaobing Zhang·Yi Zhang
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Abstract

We introduce Tsallis mapping in Bianconi-Barabási (B-B) fitness model of growing networks. This mapping addresses the dynamical behavior of the fitness model within the framework of nonextensive statistics mechanics, which is characterized by a dimensionless nonextensivity parameter $q$. It is found that this new phenomenological parameter plays an important role in the evolution of networks: the underlying evolving networks may undergo a different phases depending on the $q$ exponents, comparing to the original B-B fitness model, and the corresponding critical transition "temperature" is identified.

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Guifeng Su, Xiaobing Zhang, Yi Zhang. 2011-07-05. Tsallis mapping in growing complex networks with fitness. https://doi.org/10.1088/0253-6102%2F57%2F3%2F26

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