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Title: Tuning clustering in random networks with arbitrary degree distributions
Author: Serrano Moral, Ma. Ángeles (María Ángeles)
Boguñá, Marián
Keywords: Física mèdica
Sistemes no lineals
Medical physics
Nonlinear systems
Issue Date: 2005
Publisher: The American Physical Society
Abstract: We present a generator of random networks where both the degree-dependent clustering coefficient and the degree distribution are tunable. Following the same philosophy as in the configuration model, the degree distribution and the clustering coefficient for each class of nodes of degree k are fixed ad hoc and a priori. The algorithm generates corresponding topologies by applying first a closure of triangles and second the classical closure of remaining free stubs. The procedure unveils an universal relation among clustering and degree-degree correlations for all networks, where the level of assortativity establishes an upper limit to the level of clustering. Maximum assortativity ensures no restriction on the decay of the clustering coefficient whereas disassortativity sets a stronger constraint on its behavior. Correlation measures in real networks are seen to observe this structural bound.
Note: Reproducció del document publicat a:
It is part of: Physical Review E, 2005, vol. 72, núm. 3, p. 036133-1-036133-8
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ISSN: 1063-651X
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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