What exactly are the properties of scale-free and other networks?
School of Mathematics and Statistics, The University of Western Australia - Perth, Australia
Received: 8 May 2013
Accepted: 6 September 2013
The concept of scale-free networks has been widely applied across natural and physical sciences. Many claims are made about the properties of these networks, even though the concept of scale-free is often vaguely defined. We present tools and procedures to analyse the statistical properties of networks defined by arbitrary degree distributions and other constraints. Doing so reveals the highly likely properties, and some unrecognised richness, of scale-free networks, and casts doubt on some previously claimed properties being due to a scale-free characteristic.
PACS: 89.75.Fb – Structures and organization in complex systems / 89.75.Da – Systems obeying scaling laws / 05.10.Ln – Monte Carlo methods
© EPLA, 2013