Dynamic Exploration of Networks: from general principles to the traceroute process

Abstract

Dynamical processes taking place on real networks define on them evolving subnetworks whose topology is not necessarily the same of the underlying one. We investigate the problem of determining the emerging degree distribution, focusing on a class of tree-like processes, such as those used to explore the Internet's topology. A general theory based on mean-field arguments is proposed, both for single-source and multiple-source cases, and applied to the specific example of the traceroute exploration of networks. Our results provide a qualitative improvement in the understanding of dynamical sampling and of the interplay between dynamics and topology in large networks like the Internet.

arXiv comment13 pages, 6 figures

References in corpus (12)

• Statistical mechanics of complex networks
• The structure and function of complex networks
• The spread of epidemic disease on networks
• Dynamics of Rumor Spreading in Complex Networks
• Epidemic spreading in correlated complex networks
• Statistical properties of sampled networks
• Information Flow in Social Groups
• Accuracy and Scaling Phenomena in Internet Mapping
• Traceroute sampling makes random graphs appear to have power law degree distributions
• Exploration of scale-free networks
• Network Inference from TraceRoute Measurements: Internet Topology `Species'
• On the Tomography of Networks and Multicast Trees