5. 1950s: Cartwright and
Harary
Frank Harary
+
-
-
Dorwin Cartwright
A
B
C
“any balanced graph can be divided into two cohesive
sub-groups that are in conflict with each other”
http://www.rcgd.isr.umich.edu
http://www.ur.umich.edu
25. Summary
• Why?
• encourages re-use
• reduce burden on teacher
• discover effective and efficient (sub)communities
• Data collection
• Which technique?
26. References
• Brandes, U. (1994). A Faster Algorithm for Betweenness Centrality. Journal of Mathematical
Sociology, 25(2), 163-177.
• Burt, R. S. (2004). Structural Holes and Good Ideas. American Journal of Sociology, 110(2), 349-399.
doi:10.1086/421787
• Cartwright, D., & Harary, F. (1977). A Graph Theoretic Approach to the Investigation of System-
Environment Relationships. Journal of Mathematical Sociology, 5, 87-111.
• Granovetter, M. (1974). Getting A Job: A Study of Contacts and Careers. Cambridge, Massachusetts.
• Krackhardt, D. (1990). Assessing the Political Landscape : Structure, Cognition, and Power in
Organizations. Administrative Science Quarterly, 35(2), 342-369.
• Liebowitz, J. (2005). Linking social network analysis with the analytic hierarchy process for
knowledge mapping in organizations. Journal of Knowledge Management, 9(1), 76-86.
doi:10.1108/13673270510582974
• Scott, J. (2000). Social Network Analysis: a Handbook (p. 208). SAGE Publications, Inc.
• Factions video. http://www.physorg.com/news/2011-01-mathematical-groups-factions.html