Statistical mechanics of random graphs

Abstract

We discuss various aspects of the statistical formulation of the theory of random graphs, with emphasis on results obtained in a series of our recent publications.

arXiv comment6 pages (Talk at Conference: Applications of Physics in Financial Analysis 4, Warsaw 13-15 Nov. 2003)

References in corpus (7)

• Statistical mechanics of complex networks
• The structure and function of complex networks
• Evolution of networks
• Statistical ensemble of scale-free random graphs
• Network Transitivity and Matrix Models
• Uncorrelated Random Networks
• Tree Networks with Causal Structure

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• Homogeneous complex networks
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• Nonequilibrium Theory of Epigenomic Microphase Separation in the Cell Nucleus
• Evolving Networks and the Development of Neural Systems
• Nonlinear preferential rewiring in fixed-size networks as a diffusion process
• Approaching the thermodynamic limit in equilibrated scale-free networks
• A program generating homogeneous random graphs with given weights
• Interplay between Network Topology and Dynamics in Neural Systems