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arXiv 2004-02-02 DOI 10.1103/PhysRevE.69.037104 0 views

Recursive graphs with small-world scale-free properties

Comellas, Francesc · Fertin, Guillaume · Raspaud, André

Original · EN

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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