Degree-distribution stability of scale-free networks

Details Degree-distribution stability of scale-free networks Degree-distribution stability of scale-free networks

2008-05-09

arxiv.org/abs/0805.1434v1

Mathematics

Probability

4+9 pages without figures

Scientific paper

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.

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