K-core decomposition of Internet graphs: hierarchies, self-similarity and measurement biases

Autores
Alvarez Hamelin, José Ignacio; Dall'Asta, Luca; Barrat, Alain; Vespignani, Alessandro
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider the k-core decomposition of network models and Internet graphs at the autonomous system (AS) level. The k-core analysis allows to characterize networks beyond the degree distribution and uncover structural properties and hierarchies due to the specific architecture of the system. We compare the k-core structure obtained for AS graphs with those of several network models and discuss the differences and similarities with the real Internet architecture. The presence of biases and the incompleteness of the real maps are discussed and their effect on the k-core analysis is assessed with numerical experiments simulating biased exploration on a wide range of network models. We find that the k-core analysis provides an interesting characterization of the fluctuations and incompleteness of maps as well as information helping to discriminate the original underlying structure.
Fil: Alvarez Hamelin, José Ignacio. Universidad de Buenos Aires. Facultad de Ingeniería; Argentina
Fil: Dall'Asta, Luca. The Abdus Salam; Italia
Fil: Barrat, Alain. Universite Paris Sud; Francia. Centre National de la Recherche Scientifique; Francia
Fil: Vespignani, Alessandro. Indiana University; Estados Unidos
Materia
k-core decomposition
Internet maps
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:11336/20126

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network_name_str CONICET Digital (CONICET)
spelling K-core decomposition of Internet graphs: hierarchies, self-similarity and measurement biasesAlvarez Hamelin, José IgnacioDall'Asta, LucaBarrat, AlainVespignani, Alessandrok-core decompositionInternet mapsWe consider the k-core decomposition of network models and Internet graphs at the autonomous system (AS) level. The k-core analysis allows to characterize networks beyond the degree distribution and uncover structural properties and hierarchies due to the specific architecture of the system. We compare the k-core structure obtained for AS graphs with those of several network models and discuss the differences and similarities with the real Internet architecture. The presence of biases and the incompleteness of the real maps are discussed and their effect on the k-core analysis is assessed with numerical experiments simulating biased exploration on a wide range of network models. We find that the k-core analysis provides an interesting characterization of the fluctuations and incompleteness of maps as well as information helping to discriminate the original underlying structure.Fil: Alvarez Hamelin, José Ignacio. Universidad de Buenos Aires. Facultad de Ingeniería; ArgentinaFil: Dall'Asta, Luca. The Abdus Salam; ItaliaFil: Barrat, Alain. Universite Paris Sud; Francia. Centre National de la Recherche Scientifique; FranciaFil: Vespignani, Alessandro. Indiana University; Estados UnidosAmerican Institute of Mathematical Sciences2008-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/20126Alvarez Hamelin, José Ignacio; Dall'Asta, Luca; Barrat, Alain; Vespignani, Alessandro; K-core decomposition of Internet graphs: hierarchies, self-similarity and measurement biases; American Institute of Mathematical Sciences; Networks and Heterogeneous Media; 3; 2; 6-2008; 371-3931556-1801CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.aimsciences.org/journals/displayArticles.jsp?paperID=3285info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/cs/0511007info:eu-repo/semantics/altIdentifier/doi/10.3934/nhm.2008.3.371info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:07:01Zoai:ri.conicet.gov.ar:11336/20126instacron: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:34982025-10-15 15:07:01.367CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv K-core decomposition of Internet graphs: hierarchies, self-similarity and measurement biases
title K-core decomposition of Internet graphs: hierarchies, self-similarity and measurement biases
spellingShingle K-core decomposition of Internet graphs: hierarchies, self-similarity and measurement biases
Alvarez Hamelin, José Ignacio
k-core decomposition
Internet maps
title_short K-core decomposition of Internet graphs: hierarchies, self-similarity and measurement biases
title_full K-core decomposition of Internet graphs: hierarchies, self-similarity and measurement biases
title_fullStr K-core decomposition of Internet graphs: hierarchies, self-similarity and measurement biases
title_full_unstemmed K-core decomposition of Internet graphs: hierarchies, self-similarity and measurement biases
title_sort K-core decomposition of Internet graphs: hierarchies, self-similarity and measurement biases
dc.creator.none.fl_str_mv Alvarez Hamelin, José Ignacio
Dall'Asta, Luca
Barrat, Alain
Vespignani, Alessandro
author Alvarez Hamelin, José Ignacio
author_facet Alvarez Hamelin, José Ignacio
Dall'Asta, Luca
Barrat, Alain
Vespignani, Alessandro
author_role author
author2 Dall'Asta, Luca
Barrat, Alain
Vespignani, Alessandro
author2_role author
author
author
dc.subject.none.fl_str_mv k-core decomposition
Internet maps
topic k-core decomposition
Internet maps
dc.description.none.fl_txt_mv We consider the k-core decomposition of network models and Internet graphs at the autonomous system (AS) level. The k-core analysis allows to characterize networks beyond the degree distribution and uncover structural properties and hierarchies due to the specific architecture of the system. We compare the k-core structure obtained for AS graphs with those of several network models and discuss the differences and similarities with the real Internet architecture. The presence of biases and the incompleteness of the real maps are discussed and their effect on the k-core analysis is assessed with numerical experiments simulating biased exploration on a wide range of network models. We find that the k-core analysis provides an interesting characterization of the fluctuations and incompleteness of maps as well as information helping to discriminate the original underlying structure.
Fil: Alvarez Hamelin, José Ignacio. Universidad de Buenos Aires. Facultad de Ingeniería; Argentina
Fil: Dall'Asta, Luca. The Abdus Salam; Italia
Fil: Barrat, Alain. Universite Paris Sud; Francia. Centre National de la Recherche Scientifique; Francia
Fil: Vespignani, Alessandro. Indiana University; Estados Unidos
description We consider the k-core decomposition of network models and Internet graphs at the autonomous system (AS) level. The k-core analysis allows to characterize networks beyond the degree distribution and uncover structural properties and hierarchies due to the specific architecture of the system. We compare the k-core structure obtained for AS graphs with those of several network models and discuss the differences and similarities with the real Internet architecture. The presence of biases and the incompleteness of the real maps are discussed and their effect on the k-core analysis is assessed with numerical experiments simulating biased exploration on a wide range of network models. We find that the k-core analysis provides an interesting characterization of the fluctuations and incompleteness of maps as well as information helping to discriminate the original underlying structure.
publishDate 2008
dc.date.none.fl_str_mv 2008-06
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/11336/20126
Alvarez Hamelin, José Ignacio; Dall'Asta, Luca; Barrat, Alain; Vespignani, Alessandro; K-core decomposition of Internet graphs: hierarchies, self-similarity and measurement biases; American Institute of Mathematical Sciences; Networks and Heterogeneous Media; 3; 2; 6-2008; 371-393
1556-1801
CONICET Digital
CONICET
url http://hdl.handle.net/11336/20126
identifier_str_mv Alvarez Hamelin, José Ignacio; Dall'Asta, Luca; Barrat, Alain; Vespignani, Alessandro; K-core decomposition of Internet graphs: hierarchies, self-similarity and measurement biases; American Institute of Mathematical Sciences; Networks and Heterogeneous Media; 3; 2; 6-2008; 371-393
1556-1801
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.aimsciences.org/journals/displayArticles.jsp?paperID=3285
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/cs/0511007
info:eu-repo/semantics/altIdentifier/doi/10.3934/nhm.2008.3.371
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
dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
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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