Growing Networks 

Recently,  found an an exact solution for distribution of connectivity in growing networks.
First, we introduce an stochastic evolution rule which  generates a growing network.
Being stochastic, it captures various  random phenomena, which are always present
during development of any  real-world network. In steady state this model could be
mapped to an exactly solvable  model namely Zero Range Process. This mapping
enable us to  find an exact expression  of  degree distribution given any evolution
rule. Being exact, this relation could be inverted, so that for any network  with
given degree  distribution  we can   find the evolution rule . We could successfully
 apply the formalism to find out an possible evolution rule for protine-protine
interaction network of Saccharomyces Cerevisiae. 

( under construction..............)
Ref :
  arXiv:0707.1246 [ps, pdf, other] [  ]
        Title: Analytical results for stochastically growing networks: connection to the zero range process
       Authors: P. K. Mohanty, Sarika Jalan