arXiv Analytics

Sign in

arXiv:cond-mat/0503420AbstractReferencesReviewsResources

Kinetic Theory of Random Graphs

E. Ben-Naim, P. L. Krapivsky

Published 2005-03-17Version 1

Statistical properties of evolving random graphs are analyzed using kinetic theory. Treating the linking process dynamically, structural characteristics such as links, paths, cycles, and components are obtained analytically using the rate equation approach. Scaling laws for finite systems are derived using extreme statistics and scaling arguments.

Comments: 11 pages, short review
Journal: AIP Conference Proceedings 776, 3 (2005)
Related articles: Most relevant | Search more
arXiv:cond-mat/0408620 (Published 2004-08-27)
Kinetic Theory of Random Graphs: from Paths to Cycles
Kinetic theory for a simple modeling of phase transition: Dynamics out of local equilibrium
Kinetic Theory for Matter Under Extreme Conditions