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Basic Concepts
A survey of key relational, graph-theoretic and algebraic ideas,
discussed in the context of major network theories.
Topics
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Strength of weak
ties theory
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Social
capital
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Bavelas
experiments
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Matrices,
relations, graphs
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Geodesic
distance, components
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Degree
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).
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Burt, R. The social structure of social capital. [pdf]
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Leavitt, H.J. 1951. Some effects of
certain communication patterns on group performance. Journal of
Abnormal and Social Psychology, 46: 38-50. [pdf]
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Exercises
- Oracle of Bacon (try to find someone who is more than 3 links away
from Kevin Bacon)
Slides
Handouts
Additional
- Carter et al.
Linear Algebra. Excellent online introduction to matrices [html]
- Wikipedia on relational composition [html]
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Bibliography
Management Literature
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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]
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Lincoln, J.R. 1982. Intra
(and inter-) organizational networks. Research in the sociology of
organizations 1:1-38.
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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
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Harary, Frank & R. Z. Norman
(1953) Graph Theory as a Mathematical Model in Social Science. Ann Arbor:
University of Michigan.
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Harary, Frank, R.Z. Norman & D.
Cartwright (1965) Structural Models: An Introduction to the Theory of
Directed Graphs. New York: John Wiley & Sons.
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Harary, Frank (1969) Graph
Theory. Reading, MA: Addison Wesley.
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Hage, Per (1979) Graph theory as
a structural model in cultural anthropology. Annual Review of Anthropology,
8 : 115-136.
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Hage, Per & Frank Harary (1983)
Structural Models in Anthropology.Cambridge: Cambridge University.
Backcloth and Traffic
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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
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