About: Tuning the overlap and the cross-layer correlations in two-layer networks: Application to a susceptible-infectious-recovered model with awareness dissemination

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About: Tuning the overlap and the cross-layer correlations in two-layer networks: Application to a susceptible-infectious-recovered model with awareness dissemination Goto Sponge NotDistinct Permalink

An Entity of Type : schema:ScholarlyArticle, within Data Space : wasabi.inria.fr associated with source document(s)

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
title	Tuning the overlap and the cross-layer correlations in two-layer networks: Application to a susceptible-infectious-recovered model with awareness dissemination
Creator	Juher, David Saldaña, Joan
source	PMC
abstract	We study the properties of the potential overlap between two networks [Formula: see text] sharing the same set of [Formula: see text] nodes (a two-layer network) whose respective degree distributions [Formula: see text] are given. Defining the overlap coefficient [Formula: see text] as the Jaccard index, we prove that [Formula: see text] is very close to 0 when [Formula: see text] and [Formula: see text] are random and independently generated. We derive an upper bound [Formula: see text] for the maximum overlap coefficient permitted in terms of [Formula: see text] , and [Formula: see text]. Then we present an algorithm based on cross rewiring of links to obtain a two-layer network with any prescribed [Formula: see text] inside the range [Formula: see text]. A refined version of the algorithm allows us to minimize the cross-layer correlations that unavoidably appear for values of [Formula: see text] beyond a critical overlap [Formula: see text]. Finally, we present a very simple example of a susceptible-infectious-recovered epidemic model with information dissemination and use the algorithms to determine the impact of the overlap on the final outbreak size predicted by the model.
has issue date	2018-03-09(xsd:dateTime)
bibo:doi	10.1103/physreve.97.032303
bibo:pmid	29776021
has license	no-cc
sha1sum (hex)	2ad1606d80772b58073a535a449046f2f04eca57
schema:url	https://doi.org/10.1103/physreve.97.032303
resource representing a document's title	Tuning the overlap and the cross-layer correlations in two-layer networks: Application to a susceptible-infectious-recovered model with awareness dissemination
has PubMed Central identifier	PMC7217526
has PubMed identifier	29776021
resource representing a document's body	covid:2ad1606d80772b58073a535a449046f2f04eca57#body_text
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