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Deterministic hierarchical networks
dc.contributor.author | Barrière Figueroa, Eulalia |
dc.contributor.author | Comellas Padró, Francesc de Paula |
dc.contributor.author | Dalfó Simó, Cristina |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
dc.date.accessioned | 2007-03-13T18:42:11Z |
dc.date.available | 2007-03-13T18:42:11Z |
dc.date.issued | 2006 |
dc.identifier.uri | http://hdl.handle.net/2117/674 |
dc.description.abstract | It has recently been shown that many networks associated with complex systems are small-world (they have both a large local clustering and a small average distance and diameter) and they are 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 which are modeled. While most of the studies for complex networks are based on stochastic methods, a deterministic approach, with an exact determination of the main relevant parameters of the networks, has proven useful to complement and enhance the probabilistic and simulation techniques and therefore to provide a better understanding of the systems modeled. In this paper we find the diameter, clustering and degree distribution of a generic family of deterministic hierarchical small-world scale-free networks which has been considered for modeling real life complex systems. |
dc.language.iso | eng |
dc.rights | Attribution-NoDerivs 2.5 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nd/2.5/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Representations of graphs |
dc.subject.other | diameter |
dc.subject.other | clustering |
dc.subject.other | networks |
dc.subject.other | hierarchy |
dc.title | Deterministic hierarchical networks |
dc.type | Article |
dc.subject.lemac | Grafs, Teoria de |
dc.contributor.group | Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions |
dc.subject.ams | Classificació AMS::05 Combinatorics::05C Graph theory |
dc.rights.access | Open Access |
dc.relation.projectidctt | TEC2005-03575 |
local.personalitzacitacio | true |
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