Degree-distribution Stability of Evolving Networks
Mathematical Physics
2009-04-23 v2 math.MP
Probability
Abstract
In this paper, we study a class of stochastic processes, called evolving network Markov chains, in evolving networks. Our approach is to transform the degree distribution problem of an evolving network to a corresponding problem of evolving network Markov chains. We investigate the evolving network Markov chains, thereby obtaining some exact formulas as well as a precise criterion for determining whether the steady degree distribution of the evolving network is a power-law or not. With this new method, we finally obtain a rigorous, exact and unified solution of the steady degree distribution of the evolving network.
Cite
@article{arxiv.0901.1418,
title = {Degree-distribution Stability of Evolving Networks},
author = {Zhenting Hou and Xiangxing Kong and Dinghua Shi and Guanrong Chen and Qinggui Zhao},
journal= {arXiv preprint arXiv:0901.1418},
year = {2009}
}
Comments
17 pages