Centrality

Centrality

Guest Speaker: Dan Halgin

Centrality refers to a family of structural concepts relating to a node's position in the network.

Topics

Social capital
Group centrality
k-coreness
clique membership
2-mode centrality

Reading

Freeman, L. C. (1979.) Centrality in social networks conceptual clarification. Social Networks, 1 pp. 215-239. [pdf]
Bonacich, P. 1987. "Power and Centrality: A Family of Measures." American Journal of Sociology 92:1170-1182. [^pdf]
Forrest R. Pitts, 1978/79. The Medieval River Trade Network of Russia Revisited. Social Networks 1:285-292 [pdf] [summary]
Borgatti, S.P. and Everett, M.G. 2006. A graph-theoretic perspective on centrality. [pdf].
Borgatti, S.P. 2005. Centrality and network flow. Social Networks. 27(1): 55-71. [pdf]

Additional

visit Experimental Exchange Networks page

Tutorials

Borgatti et al. Analyzing Social Networks. Centrality
Hanneman & Riddle. Chap. 10

Exercises

Slides

Lectures/centrality.pdf

Handouts

Eigenvectors

Study Questions

Are there any properties of networks/position that would not be considered social capital?

Bibliography

Theory

Bonacich P (1972). Factoring and Weighting Approaches to status scores and clique identification. Journal of Mathematical Sociology 2, 113-120.
Everett, M. G., & Borgatti, S. P. 1999. The centrality of groups and classes. Journal of Mathematical Sociology. 23(3): 181-201.[pdf]
Hubbell C H (1965). 'An input-output approach to clique identification'. Sociometry, 28, 377-399.
Friedkin, N. E. 1991. "Theoretical Foundations for Centrality Measures." American Journal of Sociology 96:1478-504.
Katz L (1953). 'A new status index derived from sociometric data analysis'. psychometrika, 18, 34-43.

Analyses of Centrality Measures

Bell, D. C., J. S. Atkinson, and J. W. Carlson. 1999. "Centrality Measures for Disease Transmission Networks." Social Networks 21:1-21.
Bolland, J. M. 1988. "Sorting Out Centrality: An Analysis of the Performance of Four Centrality Models In Real and Simulated Networks." Social Networks 10:233-53.
Borgatti, S.P., Carley, K., and Krackhardt, D. 2006. Robustness of Centrality Measures under Conditions of Imperfect Data. Social Networks 28: 124–136. [pdf] Freeman, L. C. 1977. "A Set of Measures of Centrality Based on Betweenness." Sociometry 40:35-41.
Borgatti, S.P. Centrality and AIDS. [html]
Nakao, Keiko. 1990. "Distribution of Measures of Centrality: Enumerated Distributions of Freeman's Graph Centrality Measures." 13(3):10-22. [pdf]

Applications

Friedkin, N. E. 1993. "Structural Basis of Interpersonal Influence in Groups: A Longitudinal Case Study." American Sociological Review 58:861-72.
Aldersen and Beckfield 2004. “Power and Position in the World City System” American Journal of Sociology 109:811-851
Baker, W. E. and R. R. Faulkner. 1993. "The Social Organization of Conspiracy: Illegal Networks in the Heavy Electrical Equipment Industry." American Sociological Review 58:837-60
Brass, Daniel J. 1984 "Being in the right place: A structural analysis of individual influence in an organization." Administrative Science Quarterly, 29: 518 539
Brass, D.J. Power in organizations: A social network Perspective. In G. Moore & J.A. Whitt (Eds.),Research in Politics and Society, 295-323, 1992. Greenwich, CT: JAI Press.
Brass, D.J. & M.E. Burkhardt. Centrality and power in Organizations. In N. Nohria & R. Eccles (Eds.), Networks and Organizations: Theory and Practice,191-215, 1993. Boston, MA: Harvard Business School Press.
Brass, D.J. and M.E. Burkhardt. Potential power and power use: An investigation of structure and behavior. Academy of Management Journal, 1993, 36, 441-470.
Leavitt, H.1951 Some effects of certain communication patterns on group performance. [pdf]
Val Burris, “The Academic Caste System: Prestige Hierarchies in PhD Exchange
Networks.” American Sociological Review 69 (2004): 239-264.
Naomi Rosenthal, Naomi, Roberta Karant, Michele Ethier, and Meryl Fingrutd,
"Centrality Analysis for Historians." Historical Methods 20 (1987): 53-62.

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