Centrality Indices
Identifieur interne : 001314 ( Istex/Corpus ); précédent : 001313; suivant : 001315Centrality Indices
Auteurs : Dirk Koschützki ; Katharina Anna Lehmann ; Leon Peeters ; Stefan Richter ; Dagmar Tenfelde-Podehl ; Oliver ZlotowskiSource :
- Lecture Notes in Computer Science [ 0302-9743 ] ; 2005.
Abstract
Abstract: Centrality indices are to quantify an intuitive feeling that in most networks some vertices or edges are more central than others. Many vertex centrality indices were introduced for the first time in the 1950s: e.g., the Bavelas index [50, 51], degree centrality [483] or a first feedback centrality, introduced by Seeley [510]. These early centralities raised a rush of research in which manifold applications were found. However, not every centrality index was suitable to every application, so with time, dozens of new centrality indices were published. This chapter will present some of the more influential, ‘classic’ centrality indices. We do not strive for completeness, but hope to give a catalog of basic centrality indices with some of their main applications.
Url:
DOI: 10.1007/978-3-540-31955-9_3
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ISTEX:E47931503AB6A57F6C51537FFCCB7C53ACBFDD77Le document en format XML
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Many vertex centrality indices were introduced for the first time in the 1950s: e.g., the Bavelas index [50, 51], degree centrality [483] or a first feedback centrality, introduced by Seeley [510]. These early centralities raised a rush of research in which manifold applications were found. However, not every centrality index was suitable to every application, so with time, dozens of new centrality indices were published. This chapter will present some of the more influential, ‘classic’ centrality indices. We do not strive for completeness, but hope to give a catalog of basic centrality indices with some of their main applications.</div></front></TEI><istex><corpusName>springer</corpusName><author><json:item><name>Dirk Koschützki</name><affiliations><json:string>IPK Gatersleben, Corrensstraße 3, 06466, Gatersleben, Germany</json:string></affiliations></json:item><json:item><name>Katharina Anna Lehmann</name><affiliations><json:string>Wilhelm-Schickard-Institut für Informatik, Universität Tübingen, Sand 14, C108, 72076, Tübingen, Germany</json:string></affiliations></json:item><json:item><name>Leon Peeters</name><affiliations><json:string>Theoretical Computer Science, Swiss Federal Institute of Technology Zürich, 8092, Zürich, Switzerland</json:string></affiliations></json:item><json:item><name>Stefan Richter</name><affiliations><json:string>Theoretical Computer Science, RWTH Aachen, Ahornstraße 55, 52056, Aachen, Germany</json:string></affiliations></json:item><json:item><name>Dagmar Tenfelde-Podehl</name><affiliations><json:string>Department of Mathematics, Technische Universität Kaiserslautern, 67653, Kaiserslautern, Germany</json:string></affiliations></json:item><json:item><name>Oliver Zlotowski</name><affiliations><json:string>Algorithms and Data Structures, Univeristät Trier, 54296, Trier, Germany</json:string></affiliations></json:item></author><language><json:string>eng</json:string></language><originalGenre><json:string>OriginalPaper</json:string></originalGenre><abstract>Abstract: Centrality indices are to quantify an intuitive feeling that in most networks some vertices or edges are more central than others. 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Surrey</OrgName><OrgAddress><City>Guildford</City><Country>UK</Country></OrgAddress></Affiliation><Affiliation ID="Aff4"><OrgName>Cornell University</OrgName><OrgAddress><City>Ithaca</City><State>NY</State><Country>USA</Country></OrgAddress></Affiliation><Affiliation ID="Aff5"><OrgName>ETH Zurich</OrgName><OrgAddress><Country>Switzerland</Country></OrgAddress></Affiliation><Affiliation ID="Aff6"><OrgName>Stanford University</OrgName><OrgAddress><City>CA</City><Country>USA</Country></OrgAddress></Affiliation><Affiliation ID="Aff7"><OrgName>Weizmann Institute of Science</OrgName><OrgAddress><City>Rehovot</City><Country>Israel</Country></OrgAddress></Affiliation><Affiliation ID="Aff8"><OrgName>University of Bern</OrgName><OrgAddress><Country>Switzerland</Country></OrgAddress></Affiliation><Affiliation ID="Aff9"><OrgName>Indian Institute of Technology</OrgName><OrgAddress><City>Madras</City><Country>India</Country></OrgAddress></Affiliation><Affiliation ID="Aff10"><OrgName>University of Dortmund</OrgName><OrgAddress><Country>Germany</Country></OrgAddress></Affiliation><Affiliation ID="Aff11"><OrgName>Massachusetts Institute of Technology</OrgName><OrgAddress><City>MA</City><Country>USA</Country></OrgAddress></Affiliation><Affiliation ID="Aff12"><OrgName>New York University</OrgName><OrgAddress><City>NY</City><Country>USA</Country></OrgAddress></Affiliation><Affiliation ID="Aff13"><OrgName>University of California</OrgName><OrgAddress><City>Berkeley</City><State>CA</State><Country>USA</Country></OrgAddress></Affiliation><Affiliation ID="Aff14"><OrgName>Rice University</OrgName><OrgAddress><City>Houston</City><State>TX</State><Country>USA</Country></OrgAddress></Affiliation><Affiliation ID="Aff15"><OrgName>Max-Planck Institute of Computer Science</OrgName><OrgAddress><City>Saarbruecken</City><Country>Germany</Country></OrgAddress></Affiliation></EditorGroup></SeriesHeader><Book Language="En"><BookInfo Language="En" NumberingStyle="ContentOnly" NumberingDepth="2" OutputMedium="All" TocLevels="0" ContainsESM="No" BookProductType="Graduate/advanced undergraduate textbook" MediaType="eBook"><BookID>978-3-540-31955-9</BookID><BookTitle>Network Analysis</BookTitle><BookSubTitle>Methodological Foundations</BookSubTitle><BookVolumeNumber>3418</BookVolumeNumber><BookSequenceNumber>3418</BookSequenceNumber><BookDOI>10.1007/b106453</BookDOI><BookTitleID>116778</BookTitleID><BookPrintISBN>978-3-540-24979-5</BookPrintISBN><BookElectronicISBN>978-3-540-31955-9</BookElectronicISBN><BookChapterCount>15</BookChapterCount><BookCopyright><CopyrightHolderName>Springer-Verlag Berlin Heidelberg</CopyrightHolderName><CopyrightYear>2005</CopyrightYear></BookCopyright><BookSubjectGroup><BookSubject Type="Primary" Code="I">Computer Science</BookSubject><BookSubject Type="Secondary" Priority="1" Code="I17028">Discrete Mathematics in Computer Science</BookSubject><BookSubject Type="Secondary" Priority="2" Code="I13022">Computer Communication Networks</BookSubject><BookSubject Type="Secondary" Priority="3" Code="I15017">Data Structures</BookSubject><BookSubject Type="Secondary" Priority="4" Code="I16021">Algorithm Analysis and Problem Complexity</BookSubject><BookSubject Type="Secondary" Priority="5" Code="M14018">Algorithms</BookSubject><BookSubject Type="Secondary" Priority="6" Code="T24035">Communications Engineering, Networks</BookSubject><SubjectCollection Code="SUCO11645">Computer Science</SubjectCollection></BookSubjectGroup><BookContext><SeriesID>558</SeriesID></BookContext></BookInfo><BookHeader><EditorGroup><Editor AffiliationIDS="Aff16"><EditorName DisplayOrder="Western"><GivenName>Ulrik</GivenName><FamilyName>Brandes</FamilyName></EditorName><Contact><Email>ulrik.brandes@uni-konstanz.de</Email></Contact></Editor><Editor AffiliationIDS="Aff17"><EditorName DisplayOrder="Western"><GivenName>Thomas</GivenName><FamilyName>Erlebach</FamilyName></EditorName><Contact><Email>t.erlebach@mcs.le.ac.uk</Email></Contact></Editor><Affiliation ID="Aff16"><OrgDivision>Department of Computer & Information Science</OrgDivision><OrgName>University of Konstanz</OrgName><OrgAddress><Country> </Country></OrgAddress></Affiliation><Affiliation ID="Aff17"><OrgDivision>Department of Computer Science</OrgDivision><OrgName>University of Leicester</OrgName><OrgAddress><Street>University Road</Street><Postcode>LE1 7RH</Postcode><City>Leicester</City><Country>UK</Country></OrgAddress></Affiliation></EditorGroup></BookHeader><Part ID="Part2"><PartInfo TocLevels="0"><PartID>2</PartID><PartSequenceNumber>2</PartSequenceNumber><PartTitle>Part I Elements</PartTitle><PartChapterCount>3</PartChapterCount><PartContext><SeriesID>558</SeriesID><BookTitle>Network Analysis</BookTitle></PartContext></PartInfo><Chapter ID="Chap3" Language="En"><ChapterInfo ChapterType="OriginalPaper" NumberingStyle="ContentOnly" NumberingDepth="2" TocLevels="0" ContainsESM="No"><ChapterID>3</ChapterID><ChapterDOI>10.1007/978-3-540-31955-9_3</ChapterDOI><ChapterSequenceNumber>3</ChapterSequenceNumber><ChapterTitle Language="En">Centrality Indices</ChapterTitle><ChapterFirstPage>16</ChapterFirstPage><ChapterLastPage>61</ChapterLastPage><ChapterCopyright><CopyrightHolderName>Springer-Verlag Berlin Heidelberg</CopyrightHolderName><CopyrightYear>2005</CopyrightYear></ChapterCopyright><ChapterGrants Type="Regular"><MetadataGrant Grant="OpenAccess"></MetadataGrant><AbstractGrant Grant="OpenAccess"></AbstractGrant><BodyPDFGrant Grant="Restricted"></BodyPDFGrant><BodyHTMLGrant Grant="Restricted"></BodyHTMLGrant><BibliographyGrant Grant="Restricted"></BibliographyGrant><ESMGrant Grant="Restricted"></ESMGrant></ChapterGrants><ChapterContext><SeriesID>558</SeriesID><PartID>2</PartID><BookID>978-3-540-31955-9</BookID><BookTitle>Network Analysis</BookTitle></ChapterContext></ChapterInfo><ChapterHeader><AuthorGroup><Author AffiliationIDS="Aff18"><AuthorName DisplayOrder="Western"><GivenName>Dirk</GivenName><FamilyName>Koschützki</FamilyName></AuthorName></Author><Author AffiliationIDS="Aff19"><AuthorName DisplayOrder="Western"><GivenName>Katharina</GivenName><GivenName>Anna</GivenName><FamilyName>Lehmann</FamilyName></AuthorName></Author><Author AffiliationIDS="Aff20"><AuthorName DisplayOrder="Western"><GivenName>Leon</GivenName><FamilyName>Peeters</FamilyName></AuthorName></Author><Author AffiliationIDS="Aff21"><AuthorName DisplayOrder="Western"><GivenName>Stefan</GivenName><FamilyName>Richter</FamilyName></AuthorName></Author><Author AffiliationIDS="Aff22"><AuthorName DisplayOrder="Western"><GivenName>Dagmar</GivenName><FamilyName>Tenfelde-Podehl</FamilyName></AuthorName></Author><Author AffiliationIDS="Aff23"><AuthorName DisplayOrder="Western"><GivenName>Oliver</GivenName><FamilyName>Zlotowski</FamilyName></AuthorName></Author><Affiliation ID="Aff18"><OrgName>IPK Gatersleben</OrgName><OrgAddress><Street>Corrensstraße 3</Street><Postcode>06466</Postcode><City>Gatersleben</City><Country>Germany</Country></OrgAddress></Affiliation><Affiliation ID="Aff19"><OrgDivision>Wilhelm-Schickard-Institut für Informatik</OrgDivision><OrgName>Universität Tübingen</OrgName><OrgAddress><Street>Sand 14, C108</Street><Postcode>72076</Postcode><City>Tübingen</City><Country>Germany</Country></OrgAddress></Affiliation><Affiliation ID="Aff20"><OrgDivision>Theoretical Computer Science</OrgDivision><OrgName>Swiss Federal Institute of Technology Zürich</OrgName><OrgAddress><Postcode>8092</Postcode><City>Zürich</City><Country>Switzerland</Country></OrgAddress></Affiliation><Affiliation ID="Aff21"><OrgName>Theoretical Computer Science, RWTH Aachen</OrgName><OrgAddress><Street>Ahornstraße 55</Street><Postcode>52056</Postcode><City>Aachen</City><Country>Germany</Country></OrgAddress></Affiliation><Affiliation ID="Aff22"><OrgDivision>Department of Mathematics</OrgDivision><OrgName>Technische Universität Kaiserslautern</OrgName><OrgAddress><Postcode>67653</Postcode><City>Kaiserslautern</City><Country>Germany</Country></OrgAddress></Affiliation><Affiliation ID="Aff23"><OrgDivision>Algorithms and Data Structures</OrgDivision><OrgName>Univeristät Trier</OrgName><OrgAddress><Postcode>54296</Postcode><City>Trier</City><Country>Germany</Country></OrgAddress></Affiliation></AuthorGroup><Abstract ID="Abs1" Language="En"><Heading>Abstract</Heading><Para>Centrality indices are to quantify an intuitive feeling that in most networks some vertices or edges are more central than others. Many vertex centrality indices were introduced for the first time in the 1950s: e.g., the Bavelas index [50, 51], degree centrality [483] or a first feedback centrality, introduced by Seeley [510]. These early centralities raised a rush of research in which manifold applications were found. However, not every centrality index was suitable to every application, so with time, dozens of new centrality indices were published. This chapter will present some of the more influential, ‘classic’ centrality indices. We do not strive for completeness, but hope to give a catalog of basic centrality indices with some of their main applications.</Para></Abstract></ChapterHeader><NoBody></NoBody></Chapter></Part></Book></Series></Publisher></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>Centrality Indices</title></titleInfo><titleInfo type="alternative" contentType="CDATA" lang="en"><title>Centrality Indices</title></titleInfo><name type="personal"><namePart type="given">Dirk</namePart><namePart type="family">Koschützki</namePart><affiliation>IPK Gatersleben, Corrensstraße 3, 06466, Gatersleben, Germany</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Katharina</namePart><namePart type="given">Anna</namePart><namePart type="family">Lehmann</namePart><affiliation>Wilhelm-Schickard-Institut für Informatik, Universität Tübingen, Sand 14, C108, 72076, Tübingen, Germany</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Leon</namePart><namePart type="family">Peeters</namePart><affiliation>Theoretical Computer Science, Swiss Federal Institute of Technology Zürich, 8092, Zürich, Switzerland</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Stefan</namePart><namePart type="family">Richter</namePart><affiliation>Theoretical Computer Science, RWTH Aachen, Ahornstraße 55, 52056, Aachen, Germany</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Dagmar</namePart><namePart type="family">Tenfelde-Podehl</namePart><affiliation>Department of Mathematics, Technische Universität Kaiserslautern, 67653, Kaiserslautern, Germany</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Oliver</namePart><namePart type="family">Zlotowski</namePart><affiliation>Algorithms and Data Structures, Univeristät Trier, 54296, Trier, Germany</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="research-article" displayLabel="OriginalPaper"></genre><originInfo><publisher>Springer Berlin Heidelberg</publisher><place><placeTerm type="text">Berlin, Heidelberg</placeTerm></place><dateIssued encoding="w3cdtf">2005</dateIssued><copyrightDate encoding="w3cdtf">2005</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><physicalDescription><internetMediaType>text/html</internetMediaType></physicalDescription><abstract lang="en">Abstract: Centrality indices are to quantify an intuitive feeling that in most networks some vertices or edges are more central than others. Many vertex centrality indices were introduced for the first time in the 1950s: e.g., the Bavelas index [50, 51], degree centrality [483] or a first feedback centrality, introduced by Seeley [510]. These early centralities raised a rush of research in which manifold applications were found. However, not every centrality index was suitable to every application, so with time, dozens of new centrality indices were published. This chapter will present some of the more influential, ‘classic’ centrality indices. We do not strive for completeness, but hope to give a catalog of basic centrality indices with some of their main applications.</abstract><relatedItem type="host"><titleInfo><title>Network Analysis</title><subTitle>Methodological Foundations</subTitle></titleInfo><name type="personal"><namePart type="given">Ulrik</namePart><namePart type="family">Brandes</namePart><affiliation>Department of Computer & Information Science, University of Konstanz</affiliation><affiliation>E-mail: ulrik.brandes@uni-konstanz.de</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Thomas</namePart><namePart type="family">Erlebach</namePart><affiliation>Department of Computer Science, University of Leicester, University Road, LE1 7RH, Leicester, UK</affiliation><affiliation>E-mail: t.erlebach@mcs.le.ac.uk</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><genre type="book-series" displayLabel="Graduate/advanced undergraduate textbook"></genre><originInfo><copyrightDate encoding="w3cdtf">2005</copyrightDate><issuance>monographic</issuance></originInfo><subject><genre>Book-Subject-Collection</genre><topic authority="SpringerSubjectCodes" authorityURI="SUCO11645">Computer Science</topic></subject><subject><genre>Book-Subject-Group</genre><topic authority="SpringerSubjectCodes" authorityURI="I">Computer Science</topic><topic authority="SpringerSubjectCodes" authorityURI="I17028">Discrete Mathematics in Computer Science</topic><topic authority="SpringerSubjectCodes" authorityURI="I13022">Computer Communication Networks</topic><topic authority="SpringerSubjectCodes" authorityURI="I15017">Data Structures</topic><topic authority="SpringerSubjectCodes" authorityURI="I16021">Algorithm Analysis and Problem Complexity</topic><topic authority="SpringerSubjectCodes" authorityURI="M14018">Algorithms</topic><topic authority="SpringerSubjectCodes" authorityURI="T24035">Communications Engineering, 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Science</title></titleInfo><name type="personal"><namePart type="given">David</namePart><namePart type="family">Hutchison</namePart><affiliation>Lancaster University, UK</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Takeo</namePart><namePart type="family">Kanade</namePart><affiliation>Carnegie Mellon University, Pittsburgh, PA, USA</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Josef</namePart><namePart type="family">Kittler</namePart><affiliation>University of Surrey, Guildford, UK</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Jon</namePart><namePart type="given">M.</namePart><namePart type="family">Kleinberg</namePart><affiliation>Cornell University, Ithaca, NY, USA</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Friedemann</namePart><namePart type="family">Mattern</namePart><affiliation>ETH Zurich, Switzerland</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">John</namePart><namePart type="given">C.</namePart><namePart type="family">Mitchell</namePart><affiliation>Stanford University, CA, USA</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Moni</namePart><namePart type="family">Naor</namePart><affiliation>Weizmann Institute of Science, Rehovot, Israel</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Oscar</namePart><namePart type="family">Nierstrasz</namePart><affiliation>University of Bern, Switzerland</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">C.</namePart><namePart type="family">Pandu Rangan</namePart><affiliation>Indian Institute of Technology, Madras, India</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Bernhard</namePart><namePart type="family">Steffen</namePart><affiliation>University of Dortmund, Germany</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Madhu</namePart><namePart type="family">Sudan</namePart><affiliation>Massachusetts Institute of Technology, MA, USA</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Demetri</namePart><namePart type="family">Terzopoulos</namePart><affiliation>New York University, NY, USA</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Dough</namePart><namePart type="family">Tygar</namePart><affiliation>University of California, Berkeley, CA, USA</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Moshe</namePart><namePart type="given">Y.</namePart><namePart type="family">Vardi</namePart><affiliation>Rice University, Houston, TX, USA</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Gerhard</namePart><namePart type="family">Weikum</namePart><affiliation>Max-Planck Institute of Computer Science, Saarbruecken, Germany</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><originInfo><copyrightDate encoding="w3cdtf">2005</copyrightDate><issuance>serial</issuance></originInfo><identifier type="ISSN">0302-9743</identifier><identifier type="eISSN">1611-3349</identifier><identifier type="SeriesID">558</identifier><recordInfo><recordOrigin>Springer-Verlag Berlin Heidelberg, 2005</recordOrigin></recordInfo></relatedItem><identifier type="istex">E47931503AB6A57F6C51537FFCCB7C53ACBFDD77</identifier><identifier type="DOI">10.1007/978-3-540-31955-9_3</identifier><identifier type="ChapterID">3</identifier><identifier type="ChapterID">Chap3</identifier><accessCondition type="use and reproduction" contentType="copyright">Springer-Verlag Berlin Heidelberg, 2005</accessCondition><recordInfo><recordContentSource>SPRINGER</recordContentSource><recordOrigin>Springer-Verlag Berlin Heidelberg, 2005</recordOrigin></recordInfo></mods></metadata></istex></record>Pour manipuler ce document sous Unix (Dilib)
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