Degree-distribution stability of scale-free networks
Probability
2008-05-13 v1 General Mathematics
Abstract
Based on the concept and techniques of first-passage probability in Markov chain theory, this letter provides a rigorous proof for the existence of the steady-state degree distribution of the scale-free network generated by the Barabasi-Albert (BA) model, and mathematically re-derives the exact analytic formulas of the distribution. The approach developed here is quite general, applicable to many other scale-free types of complex networks.
Keywords
Cite
@article{arxiv.0805.1434,
title = {Degree-distribution stability of scale-free networks},
author = {Zhenting Hou and Xiangxing Kong and Dinghua Shi and Guanrong Chen},
journal= {arXiv preprint arXiv:0805.1434},
year = {2008}
}
Comments
4+9 pages without figures