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Sampling methods and estimation of triangle count distributions in large networks

dc.contributor.authorAntunes, Nelson
dc.contributor.authorGuo, Tianjian
dc.contributor.authorPipiras, Vladas
dc.date.accessioned2021-09-27T14:25:45Z
dc.date.available2021-09-27T14:25:45Z
dc.date.issued2021-10
dc.description.abstractThis paper investigates the distributions of triangle counts per vertex and edge, as a means for network description, analysis, model building, and other tasks. The main interest is in estimating these distributions through sampling, especially for large networks. A novel sampling method tailored for the estimation analysis is proposed, with three sampling designs motivated by several network access scenarios. An estimation method based on inversion and an asymptotic method are developed to recover the entire distribution. A single method to estimate the distribution using multiple samples is also considered. Algorithms are presented to sample the network under the various access scenarios. Finally, the estimation methods on synthetic and real-world networks are evaluated in a data study.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1017/nws.2021.2pt_PT
dc.identifier.eissn2050-1250
dc.identifier.urihttp://hdl.handle.net/10400.1/17160
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherCambridge University Presspt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectTrianglespt_PT
dc.subjectRandom samplingpt_PT
dc.subjectDistribution estimationpt_PT
dc.subjectInversion approachpt_PT
dc.subjectAsymptotic approachpt_PT
dc.subjectMultiple samplespt_PT
dc.subjectStatic and streaming graphspt_PT
dc.subjectPower lawspt_PT
dc.titleSampling methods and estimation of triangle count distributions in large networkspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPageS156pt_PT
oaire.citation.issueS1pt_PT
oaire.citation.startPageS134pt_PT
oaire.citation.titleNetwork Sciencept_PT
oaire.citation.volume9pt_PT
person.familyNameAntunes
person.givenNameNelson
person.identifier.ciencia-idA31E-F40A-C819
person.identifier.orcid0000-0001-6071-1099
person.identifier.scopus-author-id15063869700
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationaea16f78-689b-426f-b6ad-e76e7b3972fe
relation.isAuthorOfPublication.latestForDiscoveryaea16f78-689b-426f-b6ad-e76e7b3972fe

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