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A survey of key relational, graph-theoretic and algebraic ideas, discussed in the context of major network theories.
Topics
Topics
Strength of weak ties theory
Social capital
Bavelas experiments
Matrices, relations, graphs
Geodesic distance, components
Degree
Readings
Readings
S.P. Borgatti. 2004. Introduction to Graph Theory. [pdf]
Granovetter, M. 1973. The strength of weak ties. American Journal of Sociology, Vol. 78, No. 6. pp. 1360-1380. [^pdf] (focus on first 10 pages: pp 1360-1369).
Burt, R. The social structure of social capital. [pdf]
Leavitt, H.J. 1951. Some effects of certain communication patterns on group performance. Journal of Abnormal and Social Psychology, 46: 38-50. [pdf]
Exercises
Exercises
Oracle of Bacon (try to find someone who is more than 3 links away from Kevin Bacon)
Slides
Slides
concepts.pdf
Old slides ...
Types of networks
Handouts
Handouts
Carter Butts. MetaMatrix: Tools for the Analysis of Organizational Structure. [html]
Additional
Additional
Additional Readings
Additional Readings
Management Literature
Management Literature
Krackhardt, D. 1994. Graph Theoretical Dimensions of Informal Organizations." In Kathleen Carley & Michael Prietula (eds.), Computational Organizational Theory. Hillsdale, NJ: Lawrence Erlbaum Associaties, Inc. pp. 89-111. [pdf]
Lincoln, J.R. 1982. Intra (and inter-) organizational networks. Research in the sociology of organizations 1:1-38.
Tichy, N. M., M. L. Tushman, and C. Fombrun, "Social Network Analysis for Organizations", Academy of Management Review, Vol. 4, No. 4, 1979, pp. 507-519 [^pdf]
Mathematical
Mathematical
Harary, Frank & R. Z. Norman (1953) Graph Theory as a Mathematical Model in Social Science. Ann Arbor: University of Michigan.
Harary, Frank, R.Z. Norman & D. Cartwright (1965) Structural Models: An Introduction to the Theory of Directed Graphs. New York: John Wiley & Sons.
Harary, Frank (1969) Graph Theory. Reading, MA: Addison Wesley.
Hage, Per (1979) Graph theory as a structural model in cultural anthropology. Annual Review of Anthropology, 8 : 115-136.
Hage, Per & Frank Harary (1983) Structural Models in Anthropology.Cambridge: Cambridge University.
Backcloth and Traffic
Backcloth and Traffic
Guetzkow, H.,& Simon, H. A. (1955). The impact of certain communication nets upon organization and performance in task-oriented groups. Management Science, 1, 233-250.
Miscellaneous
Miscellaneous
Krackhardt & Carley. 1998. A PCANS Model of Structure in Organizations." Proceedings of the 1998 International Symposium on Command and Control Research and Technology. June. Monterey, CA. [pdf]
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