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Scale free networks from a Hamiltonian dynamics

M. Baiesi·S. S. Manna
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Abstract

Contrary to many recent models of growing networks, we present a model with fixed number of nodes and links, where it is introduced a dynamics favoring the formation of links between nodes with degree of connectivity as different as possible. By applying a local rewiring move, the network reaches equilibrium states assuming broad degree distributions, which have a power law form in an intermediate range of the parameters used. Interestingly, in the same range we find non-trivial hierarchical clustering.

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M. Baiesi, S. S. Manna. 2003-07-09. Scale free networks from a Hamiltonian dynamics. https://doi.org/10.1103/physreve.68.047103

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