Geometric explanation of the rich-club phenomenon in complex networks

Abstract The rich club organization (the presence of highly connected hub core in a network) influences many structural and functional characteristics of networks including topology, the efficiency of paths and distribution of load. Despite its major role, the literature contains only a very limited...

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Autores principales:	Máté Csigi, Attila Kőrösi, József Bíró, Zalán Heszberger, Yury Malkov, András Gulyás
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/c814b5ad026f4c9bb951590572f1b609
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spelling	oai:doaj.org-article:c814b5ad026f4c9bb951590572f1b6092021-12-02T11:40:15ZGeometric explanation of the rich-club phenomenon in complex networks10.1038/s41598-017-01824-y2045-2322https://doaj.org/article/c814b5ad026f4c9bb951590572f1b6092017-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-01824-yhttps://doaj.org/toc/2045-2322Abstract The rich club organization (the presence of highly connected hub core in a network) influences many structural and functional characteristics of networks including topology, the efficiency of paths and distribution of load. Despite its major role, the literature contains only a very limited set of models capable of generating networks with realistic rich club structure. One possible reason is that the rich club organization is a divisive property among complex networks which exhibit great diversity, in contrast to other metrics (e.g. diameter, clustering or degree distribution) which seem to behave very similarly across many networks. Here we propose a simple yet powerful geometry-based growing model which can generate realistic complex networks with high rich club diversity by controlling a single geometric parameter. The growing model is validated against the Internet, protein-protein interaction, airport and power grid networks.Máté CsigiAttila KőrösiJózsef BíróZalán HeszbergerYury MalkovAndrás GulyásNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-8 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Máté Csigi Attila Kőrösi József Bíró Zalán Heszberger Yury Malkov András Gulyás Geometric explanation of the rich-club phenomenon in complex networks
description	Abstract The rich club organization (the presence of highly connected hub core in a network) influences many structural and functional characteristics of networks including topology, the efficiency of paths and distribution of load. Despite its major role, the literature contains only a very limited set of models capable of generating networks with realistic rich club structure. One possible reason is that the rich club organization is a divisive property among complex networks which exhibit great diversity, in contrast to other metrics (e.g. diameter, clustering or degree distribution) which seem to behave very similarly across many networks. Here we propose a simple yet powerful geometry-based growing model which can generate realistic complex networks with high rich club diversity by controlling a single geometric parameter. The growing model is validated against the Internet, protein-protein interaction, airport and power grid networks.
format	article
author	Máté Csigi Attila Kőrösi József Bíró Zalán Heszberger Yury Malkov András Gulyás
author_facet	Máté Csigi Attila Kőrösi József Bíró Zalán Heszberger Yury Malkov András Gulyás
author_sort	Máté Csigi
title	Geometric explanation of the rich-club phenomenon in complex networks
title_short	Geometric explanation of the rich-club phenomenon in complex networks
title_full	Geometric explanation of the rich-club phenomenon in complex networks
title_fullStr	Geometric explanation of the rich-club phenomenon in complex networks
title_full_unstemmed	Geometric explanation of the rich-club phenomenon in complex networks
title_sort	geometric explanation of the rich-club phenomenon in complex networks
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/c814b5ad026f4c9bb951590572f1b609
work_keys_str_mv	AT matecsigi geometricexplanationoftherichclubphenomenonincomplexnetworks AT attilakorosi geometricexplanationoftherichclubphenomenonincomplexnetworks AT jozsefbiro geometricexplanationoftherichclubphenomenonincomplexnetworks AT zalanheszberger geometricexplanationoftherichclubphenomenonincomplexnetworks AT yurymalkov geometricexplanationoftherichclubphenomenonincomplexnetworks AT andrasgulyas geometricexplanationoftherichclubphenomenonincomplexnetworks
_version_	1718395670207922176

Geometric explanation of the rich-club phenomenon in complex networks

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