Growing a network on a given substrate

@article{Fotouhi2012GrowingAN,
  title={Growing a network on a given substrate},
  author={Babak Fotouhi and Michael G. Rabbat},
  journal={2012 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton)},
  year={2012},
  pages={2018-2023}
}
  • Babak FotouhiM. Rabbat
  • Published 24 July 2012
  • Computer Science
  • 2012 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton)
Conventional studies of network growth models mainly look at the steady state degree distribution of the graph. Often long time behavior is considered, hence the initial condition is ignored. In this contribution, the time evolution of the degree distribution is the center of attention. We consider two specific growth models; incoming nodes with uniform and preferential attachment, and the degree distribution of the graph for arbitrary initial condition is obtained as a function of time. This… 
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