Foundations and Basic Theorizing
A survey of key relational, graph-theoretic and algebraic ideas. This will be the only class
that is largely mathematical. However, the math is extremely easy
-- really just a bunch of simple definitions. We also discuss a set of
well-known network theories in order to see how they make use of fundamental
- 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]
Borgatti, S. P. 1997. Structural holes: Unpacking
Burtís redundancy measures. Connections, 20(1): 35‑38. [pdf]
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,
- Carter et al.
Linear Algebra. Excellent online introduction to matrices [html]
- Wikipedia on relational composition [html]
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.
Lincoln, J.R. 1982. Intra
(and inter-) organizational networks. Research in the sociology of
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]
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
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.