2005/03/17 by E. Ben-Naim, P. L. Krapivsky
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.dis-nn
paper · pdf · doi:10.1063/1.1985373
published as AIP Conference Proceedings 776, 3 (2005) · 11 pages, short review
arxiv created 2005/03/17 · arxiv updated 2009/12/01
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.