A mathematical model for interpersonal relationships in social networks

Social Networks

Volumn 20, Issue 2, 1998, Pages 179-196

  Barnes, George R ^a   Cerrito, Patricia B ^a   Levi, Inessa ^a  

^a UNIVERSITY OF LOUISVILLE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000279586     PISSN: 03788733     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-8733(97)00013-0     Document Type: Article

References (22)

1. Arnold, S.F., 1990. Mathematical Statistics. Prentice-Hall, Englewood Cliffs, NJ.
2. Barnes et al., 1995.
3. Boorman S.A., White H.C. Social structure from multiple networks: II. Role structures. Am. J. Sociol. 81:1976;1384-1446.
4. Boyd, J.P., 1991. Social Semigroups. George Mason Univ. Press, Fairfax, VA.
5. Boyd, 1992.
6. Brumelle S., Gerchank Y. A stochastic model allowing interaction among individuals and its behavior for large populations. J. Math. Sociol. 7:1980;73-90.
7. Cerrito P.B. A complete characterization of stochastic processes defined on regular semigroups with applications to stochastic models. Illinois J. Math. 34(1):1990;108-119.
8. Conlisk J. A stability theorem for an interactive Markov chain. J. Math. Sociol. 6:1978;163-168.
9. Higgins, 1992. Techniques in Semigroup Theory. Oxford Univ. Press, Oxford.
10. Howie, J.M., 1976. An Introduction to Semigroup Theory. Academic Press, London.
11. Kinlaw, D.C., 1992. Continuous Improvement and Measurement for Total Quality: A Team-based Approach. Pfeiffer, San Diego.
12. Mukherjea, A., Tserpes, N., 1976. Measures on topological semigroups, Lecture Notes in Mathematics, 547. Springer-Verlag, Berlin.
13. Newcomb, T.M., 1961. The Acquaintance Process. Holt, Rinehart and Winston, New York.
14. Nirenberg, J., 1993. The Living Organization: Transforming Teams into Workplace Communities. Pfeiffer, San Diego.
15. Nordlie, P.G., 1958. A longitudinal study of interpersonal attraction in a natural group setting. PhD Thesis, University of Michigan.
16. Pattison, P., 1993. Algebraic Models for Social Networks. Cambridge Univ. Press, Cambridge.
17. Rotman, J.J., 1984. An Introduction to the Theory of Groups. Allyn and Bacon.
18. Sampson, S.F., 1969. Crisis in a Cloister #69-5775. University Microfilms, Ann Arbor Sci. Publ., Ann Arbor, MI.
19. Smelser, N.J., 1993. Continuous Improvement and Measurement for Total Quality: A Team-based Approach. Pfeiffer, San Diego.
20. Wasserman S. Analyzing social networks as stochastic processes. J. Am. Stat. Assoc. 75(37):1980;280-294.
21. White, H.C., 1992. Identity and Control: A Structural Theory of Social Action. Princeton Univ. Press, Princeton.
22. White H.C., Boorman S., Breiger R. Social structure from multiple networks: I. Blockmodels of roles and positions. Am. J. Sociol. 81:1976;730-780.