Exact Solutions for Network Rewiring Models

Details Exact Solutions for Network Rewiring Models Exact Solutions for Network Rewiring Models

2006-07-07

arxiv.org/abs/cond-mat/0607196v3

Eur. Phys. J. B 56 (2007) 65-69

Physics

Condensed Matter

Statistical Mechanics

7 pages, 7 figures. Minor changes and corrections made for publication

Scientific paper

10.1140/epjb/e2007-00084-8

Evolving networks with a constant number of edges may be modelled using a rewiring process. These models are used to describe many real-world processes including the evolution of cultural artifacts such as family names, the evolution of gene variations, and the popularity of strategies in simple econophysics models such as the minority game. The model is closely related to Urn models used for glasses, quantum gravity and wealth distributions. The full mean field equation for the degree distribution is found and its exact solution and generating solution are given.

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