A triple point induced by targeted autonomization on interdependent scale-free networks

Autores
Valdez, Lucas Daniel; Macri, Pablo Alejandro; Braunstein, L. A.
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Recent studies have shown that in interdependent networks an initial failure of a fraction 1 − p of nodes in one network, exposes the system to a cascade of failures. Therefore it is important to develop efficient strategies to avoid their collapse. Here, we provide an exact theoretical approach to study the evolution of the cascade of failures on interdependent networks when a fraction α of the nodes with higher connectivity are autonomous. We found, for a pair of heterogeneous networks, two critical percolation thresholds that depend on α, separating three regimes with very different networks' final sizes that converge into a triple point in the plane p − α. Our findings suggest that the heterogeneity of the networks represented by high degree nodes are responsible for the rich phase diagrams found in this and other investigations.
Fil: Valdez, Lucas Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Macri, Pablo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Braunstein, L. A.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Materia
Complex Networks
Cascade of Failures
Branching Processes
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/8247
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A triple point induced by targeted autonomization on interdependent scale-free networksValdez, Lucas DanielMacri, Pablo AlejandroBraunstein, L. A.Complex NetworksCascade of FailuresBranching Processeshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Recent studies have shown that in interdependent networks an initial failure of a fraction 1 − p of nodes in one network, exposes the system to a cascade of failures. Therefore it is important to develop efficient strategies to avoid their collapse. Here, we provide an exact theoretical approach to study the evolution of the cascade of failures on interdependent networks when a fraction α of the nodes with higher connectivity are autonomous. We found, for a pair of heterogeneous networks, two critical percolation thresholds that depend on α, separating three regimes with very different networks' final sizes that converge into a triple point in the plane p − α. Our findings suggest that the heterogeneity of the networks represented by high degree nodes are responsible for the rich phase diagrams found in this and other investigations.Fil: Valdez, Lucas Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaFil: Macri, Pablo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaFil: Braunstein, L. A.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaIOP Publishing2014-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/8247Valdez, Lucas Daniel; Macri, Pablo Alejandro; Braunstein, L. A.; A triple point induced by targeted autonomization on interdependent scale-free networks; IOP Publishing; Journal Of Physics. A - Mathematical And General; 47; 5; 2-2014; 55002-550100305-44701361-644enginfo:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/1751-8121/47/5/055002info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/47/5/055002info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1310.6345v3info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:06:20Zoai:ri.conicet.gov.ar:11336/8247instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 12:06:20.743CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A triple point induced by targeted autonomization on interdependent scale-free networks
title A triple point induced by targeted autonomization on interdependent scale-free networks
spellingShingle A triple point induced by targeted autonomization on interdependent scale-free networks
Valdez, Lucas Daniel
Complex Networks
Cascade of Failures
Branching Processes
title_short A triple point induced by targeted autonomization on interdependent scale-free networks
title_full A triple point induced by targeted autonomization on interdependent scale-free networks
title_fullStr A triple point induced by targeted autonomization on interdependent scale-free networks
title_full_unstemmed A triple point induced by targeted autonomization on interdependent scale-free networks
title_sort A triple point induced by targeted autonomization on interdependent scale-free networks
dc.creator.none.fl_str_mv Valdez, Lucas Daniel
Macri, Pablo Alejandro
Braunstein, L. A.
author Valdez, Lucas Daniel
author_facet Valdez, Lucas Daniel
Macri, Pablo Alejandro
Braunstein, L. A.
author_role author
author2 Macri, Pablo Alejandro
Braunstein, L. A.
author2_role author
author
dc.subject.none.fl_str_mv Complex Networks
Cascade of Failures
Branching Processes
topic Complex Networks
Cascade of Failures
Branching Processes
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Recent studies have shown that in interdependent networks an initial failure of a fraction 1 − p of nodes in one network, exposes the system to a cascade of failures. Therefore it is important to develop efficient strategies to avoid their collapse. Here, we provide an exact theoretical approach to study the evolution of the cascade of failures on interdependent networks when a fraction α of the nodes with higher connectivity are autonomous. We found, for a pair of heterogeneous networks, two critical percolation thresholds that depend on α, separating three regimes with very different networks' final sizes that converge into a triple point in the plane p − α. Our findings suggest that the heterogeneity of the networks represented by high degree nodes are responsible for the rich phase diagrams found in this and other investigations.
Fil: Valdez, Lucas Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Macri, Pablo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Braunstein, L. A.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
description Recent studies have shown that in interdependent networks an initial failure of a fraction 1 − p of nodes in one network, exposes the system to a cascade of failures. Therefore it is important to develop efficient strategies to avoid their collapse. Here, we provide an exact theoretical approach to study the evolution of the cascade of failures on interdependent networks when a fraction α of the nodes with higher connectivity are autonomous. We found, for a pair of heterogeneous networks, two critical percolation thresholds that depend on α, separating three regimes with very different networks' final sizes that converge into a triple point in the plane p − α. Our findings suggest that the heterogeneity of the networks represented by high degree nodes are responsible for the rich phase diagrams found in this and other investigations.
publishDate 2014
dc.date.none.fl_str_mv 2014-02
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/8247
Valdez, Lucas Daniel; Macri, Pablo Alejandro; Braunstein, L. A.; A triple point induced by targeted autonomization on interdependent scale-free networks; IOP Publishing; Journal Of Physics. A - Mathematical And General; 47; 5; 2-2014; 55002-55010
0305-4470
1361-644
url http://hdl.handle.net/11336/8247
identifier_str_mv Valdez, Lucas Daniel; Macri, Pablo Alejandro; Braunstein, L. A.; A triple point induced by targeted autonomization on interdependent scale-free networks; IOP Publishing; Journal Of Physics. A - Mathematical And General; 47; 5; 2-2014; 55002-55010
0305-4470
1361-644
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/1751-8121/47/5/055002
info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/47/5/055002
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1310.6345v3
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.982451

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