Heterogeneous network with distance dependent connectivity

Details Heterogeneous network with distance dependent connectivity Heterogeneous network with distance dependent connectivity

2008-02-11

arxiv.org/abs/0802.1431v2

European Physical Journal B 63, 273-278 (2008)

Physics

Physics and Society

6 pages, 4 figures, minor clarifications and references added

Scientific paper

10.1140/epjb/e2008-00236-4

We investigate a network model based on an infinite regular square lattice embedded in the Euclidean plane where the node connection probability is given by the geometrical distance of nodes. We show that the degree distribution in the basic model is sharply peaked around its mean value. Since the model was originally developed to mimic the social network of acquaintances, to broaden the degree distribution we propose its generalization. We show that when heterogeneity is introduced to the model, it is possible to obtain fat tails of the degree distribution. Meanwhile, the small-world phenomenon present in the basic model is not affected. To support our claims, both analytical and numerical results are obtained.

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