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Extensions of closeness centrality?

Published: 24 March 2011 Publication History

Abstract

The concept of vertex centrality has long been studied in order to help understand the structure and dynamics of complex networks. It has found wide applicability in practical as well as theoretical areas. Closeness centrality is one of the fundamental approaches to centrality, but one difficulty with using it is that it degenerates for disconnected graphs. Some alternate versions of closeness centrality have been proposed which rectify this problem. This paper points out that these are not true extensions of closeness centrality in the sense that they do not rank the vertices of connected graphs in the same way that closeness centrality does.

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Newman, M. A measure of betweenness centrality based on random walks. Social networks 27, 1 (2005), 39--54.

Cited By

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  • (2022)Network Modelling Methods for Precision MedicineSystems Biology Modelling and Analysis10.1002/9781119716600.ch10(363-423)Online publication date: 18-Nov-2022
  • (2013)Incremental closeness centrality for dynamically changing social networksProceedings of the 2013 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining10.1145/2492517.2500270(1250-1258)Online publication date: 25-Aug-2013

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cover image ACM Conferences
ACMSE '11: Proceedings of the 49th annual ACM Southeast Conference
March 2011
399 pages
ISBN:9781450306867
DOI:10.1145/2016039
Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 24 March 2011

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Author Tags

  1. centrality
  2. closeness
  3. graph structure

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ACM SE '11
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ACM SE '11: ACM Southeast Regional Conference
March 24 - 26, 2011
Georgia, Kennesaw

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Overall Acceptance Rate 502 of 1,023 submissions, 49%

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Cited By

View all
  • (2022)Network Modelling Methods for Precision MedicineSystems Biology Modelling and Analysis10.1002/9781119716600.ch10(363-423)Online publication date: 18-Nov-2022
  • (2013)Incremental closeness centrality for dynamically changing social networksProceedings of the 2013 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining10.1145/2492517.2500270(1250-1258)Online publication date: 25-Aug-2013

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