Quasistatic scale-free networks.
A network is formed using the N sites of a 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(alpha). Tuning the control parameter alpha, we observe a transition where the average degree of the largest node <k(m)(alpha,N)> changes its variation from N0 to N at a specific transition point of alpha(c). The network is scale free, i.e., the nodal degree distribution has a power law decay for alpha> or = alpha(c).
Mukherjee
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Satyendra Nath Bose National Centre for Basic Sciences Block-JD, Sector-III, Salt Lake, Kolkata 700098, India.
Manna
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