Deterministic scale-free networks created in a recursive manner

Details Deterministic scale-free networks created in a recursive manner Deterministic scale-free networks created in a recursive manner

2005-12-07

arxiv.org/abs/cond-mat/0512143v1

Communications, Circuits and Systems Proceedings, 2006 International Conference on Volume 4, June 2006 Page(s): 2683-2686

Physics

Condensed Matter

Statistical Mechanics

5 pages, 2 figures

Scientific paper

10.1109/ICCCAS.2006.285223

In a recursive way and by including a parameter, we introduce a family of deterministic scale-free networks. The resulting networks exhibit small-world effects. We calculate the exact results for the degree exponent, the clustering coefficient and the diameter. The major points of our results indicate: the degree exponent can be adjusted; the clustering coefficient of each individual vertex is inversely proportional to its degree and the average clustering coefficient of all vertices approaches to a nonzero value in the infinite network order; and the diameter grows logarithmically with the number of network vertices.

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