Analytical results for stochastically growing networks: connection to the zero range process

Details Analytical results for stochastically growing networks: connection to the zero range process Analytical results for stochastically growing networks: connection to the zero range process

2007-07-09

arxiv.org/abs/0707.1246v1

Phys. Rev. E 77, 045102(R) (2008)

Physics

Condensed Matter

Statistical Mechanics

4+ pages, revtex, 3 eps figures

Scientific paper

10.1103/PhysRevE.77.045102

We introduce a stochastic model of growing networks where both, the number of new nodes which joins the network and the number of connections, vary stochastically. We provide an exact mapping between this model and zero range process, and use this mapping to derive an analytical solution of degree distribution for any given evolution rule. One can also use this mapping to infer about a possible evolution rule for a given network. We demonstrate this for protein-protein interaction (PPI) network for Saccharomyces Cerevisiae.

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