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Quasistatic Scale-free Networks

G. Mukherjee·S. S. Manna
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Abstract

A network is formed using the $N$ sites of an one-dimensional lattice in the shape of a ring as nodes and each node with the initial degree $k_{in}=2$. $N$ links are then introduced to this network, each link starts from a distinct node, the other end being connected to any other node with degree $k$ randomly selected with an attachment probability proportional to $k^α$. Tuning the control parameter $α$ we observe a transition where the average degree of the largest node $ $ changes its variation from $N^0$ to $N$ at a specific transition point of $α_c$. The network is scale-free i.e., the nodal degree distribution has a power law decay for $α\ge α_c$.

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G. Mukherjee, S. S. Manna. 2002-11-13. Quasistatic Scale-free Networks. https://doi.org/10.1103/physreve.67.012101

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