Two-level relationships and Scale-Free Networks

Details Two-level relationships and Scale-Free Networks Two-level relationships and Scale-Free Networks

2005-08-18

arxiv.org/abs/cond-mat/0508434v2

Physica A, 365, 565-570 (2006)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1016/j.physa.2005.12.070

Through the distinction between ``real'' and ``virtual'' links between the nodes of a graph, we develop a set of simple rules leading to scale-free networks with a tunable degree distribution exponent. Albeit sharing some similarities with preferential attachment, our procedure is both faster than a na\"ive implementation of the Barab\'asi and Albert model and exhibits different clustering properties. The model is thoroughly studied numerically and suggests that reducing the set of partners a node can connect to is important in seizing the diversity of scale-free structures.

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