Kinetic Theory of Random Graphs

Details Kinetic Theory of Random Graphs Kinetic Theory of Random Graphs

2005-03-17

arxiv.org/abs/cond-mat/0503420v1

AIP Conference Proceedings 776, 3 (2005)

Physics

Condensed Matter

Statistical Mechanics

11 pages, short review

Scientific paper

10.1063/1.1985373

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.

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