Title
Deterministic hierarchical networks
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.
Year
DOI
Venue
2015
10.1088/1751-8113/49/22/225202
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Keywords
Field
DocType
hierarchical network,small-world,scale-free,degree,diameter,clustering
Complex system,Data mining,Computer science,Hierarchical clustering of networks,Hierarchical network model,Degree distribution,Complex network,Probabilistic logic,Clustering coefficient,Modularity
Journal
Volume
Issue
ISSN
49
22
1751-8113
Citations 
PageRank 
References 
0
0.34
0
Authors
4
Name
Order
Citations
PageRank
Lali Barriere11087.48
Francesc Comellas215525.07
Cristina Dalfó3469.47
M. A. Fiol481687.28