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Publication :
Geometric evolution of complex networks with degree correlations

bul.description.provenanceemo spbfr
bul.rights.dateAccepPubl2018-03-19fr
bul.rights.periodeEmbargoP0Mfr
bul.rights.typeDatedatePublicationfr
dc.contributor.authorAllard, Antoine
dc.contributor.authorSt-Onge, Guillaume
dc.contributor.authorLaurence, Edward
dc.contributor.authorDubé, Louis J.
dc.contributor.authorMurphy, Charles
dc.date.accessioned2020-01-27T16:13:39Z
dc.date.available2020-01-27T16:13:39Z
dc.date.issued2018-03-19
dc.description.abstractWe present a general class of geometric network growth mechanisms by homogeneous attachment in which the links created at a given time t are distributed homogeneously between a new node and the existing nodes selected uniformly. This is achieved by creating links between nodes uniformly distributed in a homogeneous metric space according to a Fermi-Dirac connection probability with inverse temperature β and general time-dependent chemical potential μ(t). The chemical potential limits the spatial extent of newly created links. Using a hidden variable framework, we obtain an analytical expression for the degree sequence and show that μ(t) can be fixed to yield any given degree distributions, including a scale-free degree distribution. Additionally, we find that depending on the order in which nodes appear in the network—its history—the degree-degree correlations can be tuned to be assortative or disassortative. The effect of the geometry on the structure is investigated through the average clustering coefficient ⟨c⟩. In the thermodynamic limit, we identify a phase transition between a random regime where ⟨c⟩→ 0 when β<βc and a geometric regime where ⟨c⟩ > 0 when β>βc.fr
dc.identifier.arxiv1710.01600fr
dc.identifier.doi10.1103/PhysRevE.97.032309fr
dc.identifier.issn1063-651Xfr
dc.identifier.urihttp://hdl.handle.net/20.500.11794/37908
dc.languageengfr
dc.publisherAmerican Physical Societyfr
dc.rightshttp://purl.org/coar/access_right/c_abf2
dc.subject.rvmRéseaux complexesfr
dc.subject.rvmThéorie des graphesfr
dc.subject.rvmGéométriefr
dc.titleGeometric evolution of complex networks with degree correlationsfr
dc.typearticle de recherche
dc.type.legacyCOAR1_1::Texte::Périodique::Revue::Contribution à un journal::Article::Article de recherchefr
dcterms.bibliographicCitationPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, Vol. 97 (3-1), (2018)fr
dspace.accessstatus.time2024-03-23 18:06:38
dspace.entity.typePublication
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rioxxterms.project.funder-nameNatural Sciences and Engineering Research Council of Canadafr
rioxxterms.project.funder-nameFonds de Recherche du Québec - Nature et Technologiesfr
rioxxterms.project.funder-nameSentinel North programfr
rioxxterms.project.funder-nameCanada First Research Excellence Fundfr
rioxxterms.versionVersion of Record (VoR)fr
rioxxterms.version-of-recordhttps://doi.org/10.1103/PhysRevE.97.032309fr

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