Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-26T07:47:51.497Z Has data issue: false hasContentIssue false
  • English
  • Français

Subgroup centrality measures

Published online by Cambridge University Press:  07 August 2014

JOCELYN R. BELL
JOCELYN R. BELL*
Affiliation:
Department of Mathematical Sciences, United State Military Academy, West Point, NY, 10996, USA (e-mail: jocelyn.bell@usma.edu)
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper we examine natural generalizations of four widely used centrality measures to subgroups of nodes in a network. This allows for a division into local and global influence. As an example, we analyze a classic network and discuss previously hidden features made visible by these new techniques. Network-wide measures and centralization formulae are derived.

Keywords

centralityattribute subgroupscentralization
Type
Research Article
Information
Network Science , Volume 2 , Issue 2 , August 2014 , pp. 277 - 297
Copyright
Copyright © Cambridge University Press 2014 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Arney, D. C., & Peterson, E. (2010). Cooperation in a network: Agent metrics and cooperation space. In Proceedings of the Army Science Conference.Google Scholar
Bonacich, P. F. (1987). Power and centrality: A family of measures. American Journal of Sociology, 92, 1170–1182.Google Scholar
Everett, M. G. & Borgatti, S. P. (1999). The centrality of groups and classes. Journal of Mathematical Sociology, 23, 181–201.Google Scholar
Everett, M. G., & Borgatti, S. P. (2012). Categorical attribute based centrality: E-I and G-F centrality. Social Networks 34 (4), 562–569.Google Scholar
Everett, M. G. & Borgatti, S. P. (2006). A Graph-theoretic perspective on centrality. Social Networks, 28 (4), 466–484.Google Scholar
Everett, M. G., Sinclair, P. & Dankelmann, P. (2004). Some centrality results new and old. Journal of Mathematical Sociology, 28, 215–227.CrossRefGoogle Scholar
Freeman, L. C. (1977). A set of measures based on betweenness. Sociometry, 40, 35–41.Google Scholar
Freeman, L. C. (1979). Centrality in social networks: I. Conceptual clarification. Social Networks, 1, 215–239.Google Scholar
Katz, L. (1953). A new status index derived from sociometric analysis. Psychometrika, 18 (1), 39–43.Google Scholar
Krackhardt, D., & Stern, R. (1988). Informal networks and organizational crises: An experimental simulation. Social Psychology Quarterly, 51 (2), 123–140.Google Scholar
Lusseau, D., & Newman, M. E. J. (2004). Identifying the role that animals play in their social networks. Proceedings of the Royal Society of London, Series B: Biological Sciences, 271 (Suppl 6), S477–S481.Google Scholar
Lusseau, D., Schneider, K., Boisseau, O. J., Haase, P., Slooten, E., & Dawson, S. M. (2003). The bottlenose dolphin community of Doubtful Sound features a large proportion of long lasting associations. Behavioral Ecology and Sociobiology, 54, 396–405.Google Scholar
Newman, M. E. J. (2010). Networks, an introduction. Oxford: Oxford University Press.Google Scholar
Seeley, J. R. (1949). The net of reciprocal influence; a problem in treating sociometric data. Canadian Journal of Psychology/Revue canadienne de psychologie, 3 (4), 234–240.Google Scholar
Wasserman, S., & Faust, K. (1994). Social Network Analysis. Cambridge: Cambridge University Press.CrossRefGoogle Scholar