Random initial condition in small Barabasi-Albert networks and deviations from the scale-free behavior | Zendy

Paulo R. Guimarães | Zendy; Marcus A. M. de Aguiar | Zendy; Jordi Bascompte | Zendy; Pedro Jordano | Zendy; Sérgio Furtado dos Reis | Zendy

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Random initial condition in small Barabasi-Albert networks and deviations from the scale-free behavior

Author(s) -

Paulo R. Guimarães,

Marcus A. M. de Aguiar,

Jordi Bascompte,

Pedro Jordano,

Sérgio Furtado dos Reis

Publication year - 2005

Publication title -

physical review e

Language(s) - English

Resource type - Journals

eISSN - 1550-2376

pISSN - 1539-3755

DOI - 10.1103/physreve.71.037101

Subject(s) - scale free network , preferential attachment , degree distribution , core (optical fiber) , random graph , scale (ratio) , statistical physics , degree (music) , mathematics , truncation (statistics) , exponential function , topology (electrical circuits) , power law , complex network , computer science , discrete mathematics , combinatorics , physics , statistics , mathematical analysis , telecommunications , graph , quantum mechanics , acoustics

Barabasi-Albert networks are constructed by adding nodes via preferential attachment to an initial core of nodes. We study the topology of small scale-free networks as a function of the size and average connectivity of their initial random core. We show that these two parameters may strongly affect the tail of the degree distribution, by consistently leading to broad-scale or single-scale networks. In particular, we argue that the size of the initial network core and its density of connections may be the main responsible for the exponential truncation of the power-law behavior observed in some small scale-free networks

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