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dc.contributor.authorMondragon, RJen_US
dc.contributor.authorZhou, Sen_US
dc.date.accessioned2016-10-07T12:34:32Z
dc.date.submitted2016-05-16T13:56:09.040Z
dc.identifier.urihttp://qmro.qmul.ac.uk/xmlui/handle/123456789/15773
dc.description15 pages, 7 figures
dc.description15 pages, 7 figuresen_US
dc.description15 pages, 7 figuresen_US
dc.description.abstractIn complex networks the rich nodes are the subset of nodes with high degree. These well connected nodes tend to dominate the organisation of the network's structure. In non-evolving networks, a reference network has been used to detect if the connectivity between the rich nodes is due to chance or caused by an unknown mechanism. Chance is represented as a reference network obtained from an ensemble of networks. When compared with the original network the reference network discounts suggests the existence of a well connected rich club beyond structural constraints. Here we revise some of the properties of the ensemble obtained by conserving only the degree distribution and introduce two new reference networks to study the importance of the rich nodes as organisers of the network structure. The first reference network is obtained from an ensemble of networks where all the members of the ensemble have the same rich--club coefficient. The reference network obtained from the ensemble is assortative. We propose that this reference network can be used to study networks where assortativness is a fundamental property, a common case in many social networks. The second reference network is obtained from an ensemble where the members of the ensemble all have the same probability degree distribution and rich-club coefficient. The reference network obtained from this ensemble has a very similar structure to the original network. This ensemble can be used to quantify correlations between the rich nodes and pinpoint which links are the backbone of the network's structure.en_US
dc.rightshttps://arxiv.org/abs/0808.4062
dc.subjectphysics.soc-phen_US
dc.subjectphysics.soc-phen_US
dc.subjectcond-mat.stat-mechen_US
dc.titleEnsembles related to the rich-club coefficient for non-evolving networksen_US
dc.typeArticle
pubs.author-urlhttp://arxiv.org/abs/0808.4062v2en_US
pubs.notesNot knownen_US


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