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Citació: Miralles, 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.
Títol: Planar unclustered scale-free graphs as models for technological and biological networks
Autor: Miralles de la Asunción, Alicia Veure Producció científica UPC; Comellas Padró, Francesc de Paula Veure Producció científica UPC; Chen, Lichao; Zhang, Zhongzhi
Data: 1-mar-2010
Tipus de document: Article
Resum: 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.
ISSN: 0378-4371
URI: http://hdl.handle.net/2117/8044
DOI: 10.1016/j.physa.2009.12.056
Apareix a les col·leccions:COMBGRAF - Combinatòria, Teoria de Grafs i Aplicacions. Articles de revista
Departaments de Matemàtica Aplicada. Articles de revista
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