Planar unclustered scale-free graphs as models for technological and biological networks
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Tipus de documentArticle
Data publicació2010-03-01
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Abstract
Many real life networks present an average path length logarithmic with the number of
nodes and a degree distribution which follows a power law. Often these networks have
also a modular and self-similar structure and, in some cases usually associated with
topological restrictions their clustering is low and they are almost planar. In this paper
we introduce a family of graphs which share all these properties and are defined by two
parameters. As their construction is deterministic, we obtain exact analytic expressions
for relevant properties of the graphs including the degree distribution, degree correlation,
diameter, and average distance, as a function of the two defining parameters. Thus, the
graphs are useful to model some complex networks, in particular several families of
technological and biological networks, and in the design of new practical communication
algorithms in relation to their dynamical processes. They can also help understanding the
underlying mechanisms that have produced their particular structure.
CitacióMiralles, A. [et al.]. Planar unclustered scale-free graphs as models for technological and biological networks. "Physica A. Statistical mechanics and its applications", 01 Març 2010, vol. 389, núm. 9, p. 1955-1964.
ISSN0378-4371
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