Some centrality results new and old

Martin G. Everett; Philip Sinclair; Peter Dankelmann

doi:10.1080/00222500490516671

Some centrality results new and old

Martin G. Everett, Philip Sinclair, Peter Dankelmann

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

Abstract

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), 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).

Original language	English
Pages (from-to)	215-227
Number of pages	13
Journal	Journal of Mathematical Sociology
Volume	28
Issue number	4
DOIs	https://doi.org/10.1080/00222500490516671
Publication status	Published - Oct 2004
Externally published	Yes

Keywords

Betweenness
Centrality
Centralization
Closeness
Cutting number
Social networks
Two-mode data

ASJC Scopus subject areas

Algebra and Number Theory
Social Sciences (miscellaneous)
Sociology and Political Science

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10.1080/00222500490516671

Cite this

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AB - 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), 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).

KW - Betweenness

KW - Centrality

KW - Centralization

KW - Closeness

KW - Cutting number

KW - Social networks

KW - Two-mode data

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Some centrality results new and old

Abstract

Keywords

ASJC Scopus subject areas

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