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Deterministic hierarchical networks.

Authors :
L Barrière
F Comellas
C Dalfó
M A Fiol
Source :
Journal of Physics A: Mathematical & Theoretical; 6/3/2016, Vol. 49 Issue 22, p1-1, 1p
Publication Year :
2016

Abstract

It has been shown that many networks associated with complex systems are small-world (they have both a large local clustering coefficient and a small diameter) and also scale-free (the degrees are distributed according to a power law). Moreover, these networks are very often hierarchical, as they describe the modularity of the systems that are modeled. Most of the studies for complex networks are based on stochastic methods. However, a deterministic method, with an exact determination of the main relevant parameters of the networks, has proven useful. Indeed, this approach complements and enhances the probabilistic and simulation techniques and, therefore, it provides a better understanding of the modeled systems. In this paper we find the radius, diameter, clustering coefficient and degree distribution of a generic family of deterministic hierarchical small-world scale-free networks that has been considered for modeling real-life complex systems. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17518113
Volume :
49
Issue :
22
Database :
Complementary Index
Journal :
Journal of Physics A: Mathematical & Theoretical
Publication Type :
Academic Journal
Accession number :
115088722
Full Text :
https://doi.org/10.1088/1751-8113/49/22/225202