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Some Centrality Results New and Old

Bibliographic Data

ID10142171
AuthorsM G Everett (0000-0003-2465-1329, University of Westminster, corresponding author), Philip Sinclair (University of Westminster), Peter Dankelmann (0000-0003-4376-7546, University of KwaZulu-Natal)
Year2004
Volume28
Issue4
Pages215-227
Publication date2004-10-01
Open AccessNo
TypeARTICLE
VenueJournal of Mathematical Sociology (JOURNAL)
Journal identifiersISSN: 0022-250X • E-ISSN: 1545-5874
PublisherTaylor & Francis (PUBLISHER • GB)
DOI10.1080/00222500490516671
OpenAlexW2065961640
LanguageEN
Citations received9
References cited6

We prove a number of results on betweenness and closeness centrality and centralization. In particular, we prove the much used normalization expression for closeness centrality first given by Freeman (1979) Freeman, L. C. 1979. Centrality in social networks conceptual clarification. Social Networks, 1: 215–239. [Crossref], [Web of Science ®] , [Google Scholar], correcting an error in the justification given in his paper. We explore the relationship between betweenness and the cutting number and use these results to prove and correct some centrality and centralization formulae first proposed by Borgatti and Everett (1997) Borgatti, S. P. and Everett, M. G. 1997. Network analysis of 2-mode data. Social Networks, 19: 243–269. [Crossref], [Web of Science ®] , [Google Scholar]

Betweenness centrality · Centrality · Closeness · Combinatorics · Complex network · Data science · Katz centrality · Network science · Network theory · Normalization (sociology · Social media · Social network analysis · Social science · Sociology · World Wide Web · Complex Network Analysis Techniques · Computer Science · Mathematics · Opinion Dynamics and Social Influence · Social Capital and Networks · Theoretical Computer Science

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    Open Access•Xianchun Zhang, Yang Chen et al.•Landscape and Urban Planning•2023

  • The Dynamics of Closeness and Betweenness

    Berno Buechel, Vincent Busken et al.•Journal of Mathematical Sociology•2013

  • Bridging, brokerage and betweenness

    Open Access•M G Everett, T W Valente•Social Networks•2016

  • Subgroup centrality measures

    Open Access•Jocelyn R Bell•Network Science•2014

  • Closeness centralization measure for two-mode data of prescribed sizes

    Open Access•Matjaž Krnc, Jean-Sébastien Sereni et al.•Network Science•2016

  • Network centralization with the Gil Schmidt power centrality index

    Open Access•Philip Sinclair, Philip Andrew Sinclair•Social Networks•2009

  • Convex combinations of centrality measures

    Ying Ying Keng, Kiam Heong Kwa et al.•Journal of Mathematical Sociology•2020

  • Deciphering the spatial structure of China's megacity region

    Open Access•Eddie C M Hui, Xun Li et al.•Cities•2020

  • Betweenness Centralization for Bipartite Graphs

    Philip Sinclair•Journal of Mathematical Sociology•2004

  • The Centrality Index of a Graph

    Open Access•Gert Sabidussi•Psychometrika•1966

  • Deep South

    Allison Davis, Burleigh B Gardner et al.•Deep South•2022

  • Centrality in social networks conceptual clarification

    Open Access•Linton C Freeman•Social Networks•1978

  • Network analysis of 2-mode data

    Open Access•P Borgatti, Stephen P Borgatti et al.•Social Networks•1997

Citations per year0.41
Citation span2004 - 2023 (20)
Highly citedNo

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