Recursive graphs with small-world scale-free properties

Details Recursive graphs with small-world scale-free properties Recursive graphs with small-world scale-free properties

2004-02-02

arxiv.org/abs/cond-mat/0402033v2

Phys. Rev. E 69, 037104 (2004)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevE.69.037104

We discuss a category of graphs, recursive clique trees, which have small-world and scale-free properties and allow a fine tuning of the clustering and the power-law exponent of their discrete degree distribution. We determine relevant characteristics of those graphs: the diameter, degree distribution, and clustering parameter. The graphs have also an interesting recursive property, and generalize recent constructions with fixed degree distributions.

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