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arXiv · 0907.1470

Finite-time fluctuations in the degree statistics of growing networks

C. Godreche·H. Grandclaude·J. M. Luck
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Abstract

This paper presents a comprehensive analysis of the degree statistics in models for growing networks where new nodes enter one at a time and attach to one earlier node according to a stochastic rule. The models with uniform attachment, linear attachment (the Barab\'asi-Albert model), and generalized preferential attachment with initial attractiveness are successively considered. The main emphasis is on finite-size (i.e., finite-time) effects, which are shown to exhibit different behaviors in three regimes of the size-degree plane: stationary, finite-size scaling, large deviations.

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BibTeXRIS

C. Godreche, H. Grandclaude, J. M. Luck. 2009-07-09. Finite-time fluctuations in the degree statistics of growing networks. https://doi.org/10.1007/s10955-009-9847-5

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