Modeling complex networks with self-similar outerplanar unclustered graphs

Francesc Comellas and Alicia Miralles

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 11, 2227-2233

Abstract: This paper introduces a family of modular, self-similar, small-world graphs with clustering zero. Relevant properties of this family are comparable to those of some networks associated with technological systems with a low clustering, like the power grid or some electronic circuits. Moreover, the graphs are outerplanar and it is know that many algorithms that are NP-complete for general graphs perform polynomial in outerplanar graphs. Therefore the graphs constitute a good mathematical model for these systems.

Keywords: Complex networks; Self-similar graphs; Modular graphs; Outerplanar graphs (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:11:p:2227-2233

DOI: 10.1016/j.physa.2009.02.004

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