From Scale-free to Erdos-Renyi Networks

Abstract

We analyze a model that interpolates between scale-free and Erdos-Renyi networks. The model introduced generates a one-parameter family of networks and allows to analyze the role of structural heterogeneity. Analytical calculations are compared with extensive numerical simulations in order to describe the transition between these two important classes of networks. Finally, an application of the proposed model to the study of the percolation transition is presented.

8 pages, 6 figures

References in corpus (1)

• Structure of Peer-to-Peer Social Networks

Cited by in corpus (6)

• Synchronization in complex networks
• Dynamical Organization of Cooperation in Complex Topologies
• Paths to Synchronization on Complex Networks
• Robustness of Cooperation in the Evolutionary Prisoner's Dilemma on Complex Networks
• Synchronizability determined by coupling strengths and topology on Complex Networks
• From regular to growing small-world networks