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Structural Equivalence


 

Loosely speaking, structural equivalence refers to the extent to which two nodes are connected to the same others -- i.e., have the same social environments. It is often hypothesized that structurally equivalent nodes will be similar in other ways as well, such as in attitudes, behaviors or performance.

 

Topics

  • Graph automorphism

  • Profile similarity methods

  • blockmodeling methods

Readings

  • Lorrain, F. & White, H.C. 1971. Structural equivalence of individuals in social networks. Journal of Mathematical Sociology 1: 49-80. (just skim) [no electronic version available to UK]
  • Burt, R.S. 1976. Positions in networks. Social Forces 55: 93-122. [^pdf]
  • Breiger, R., Boorman, S. & Arabie, P. 1975. An algorithm for clustering relational data with applications to social network analysis and comparison with multidimensional scaling. Journal of Mathematical Psychology 12: 328-383. [^pdf]

  • White, H. C., S. A. Boorman, and R. L. Breiger. 1976. "Social Structure From Multiple Networks I." American Journal of Sociology 81:730-780.[^pdf]

  • review the cohesion vs equivalence debate

 

Tutorials

Exercises

Handouts

Slides

Reference

  • Wasserman and Faust, ch. 9, 10, 12


Methods

  • Breiger, R., Boorman, S. & Arabie, P. 1975. An algorithm for clustering relational data with applications to social network analysis and comparison with multidimensional scaling. Journal of Mathematical Psychology 12: 328-383. [^pdf]
  • Faust, Katherine and A. Kimball Romney. 1985. Does structure find structure?: A critique of Burt's use of distance as a measure of structural equivalence. Social Networks, 7:77 103

Concepts and Theory

  • DiMaggio and Powell. 1983. The iron cage revisited: Institutional isomorphism ... American Sociological Review 48(2): 147-160. [pdf]
  • White, Harrison, S. Boorman, and Ronald Breiger 1976 "Social structure from multiple
    networks: I. Blockmodels of roles and positions." American Journal of Sociology, 81:
    730-780.
  • Boorman, S. and Harrison White 1976 "Social structure from multiple networks: II. Role
    structures." American Journal of Sociology, 81: 1384-1446 [^pdf]
  • Everett, M.G., & Borgatti, S. P. 1994. Regular equivalence: General theory. Journal of Mathematical Sociology, 19(1): 29-52. [pdf]

Applications

  • Burt, R.S. & Talmud, I. 1993. Market niche. Social Networks. 15: 133-149
  • DiMaggio, P. 1986. Structural analysis of organizational fields: A blockmodel approach. Research in Organizational Behavior 8: 335-70.
  • Galaskiewicz, J. & Burt, R.S. 1991. Interorganizational contagion in corporate philanthropy. Administrative Science Quarterly 36: 88-105.
  • Gerlach, Michael L. 1992 "The Japanese corporate network: A blockmodel approach." Administrative Science Quarterly, 37: 105 139
  • Padgett, J. F. and C. K. Ansell. 1993. "Robust Action and the Rise of the Medici, 1400-1434." American Journal of Sociology 98:1259
  • Nancy J. Herman, “Conflict in the Church: A Social Network Analysis of an Anglican
    Congregation.” Journal for the Scientific Study of Religion 23 (1984): 60-74.
  • Paul DiMaggio, "Structural Analysis of Organizational Fields: A Blockmodel
    Approach," pp. 335-370 in Barry M. Staw and L. L. Cummings (eds.), Research in
    Organizational Behavior 8 (1986). Westport, CT: JAI Press.
  • Anheier, Helmut K., Jürgen Gerhards, and Frank P. Romo, "Forms of Capital and Social
    Structure in Cultural Fields: Examination of Bourdieu's Social Topography." American
    Journal of Sociology 100 (January 1995): 859-903.
  • Robert R. Faulkner, Music on Demand: Composers and Careers in the Hollywood Film
    Industry (1983), pp. 185-99 and 218-21.
  • Katherine Giuffre, “Sandpiles of Opportunity: Success in the Art World.” Social Forces
    77 (1999): 815-32.
  • Mario Diani, “Britain Re-Creates the Social Movement: Contentious (and Not-socontentious)
    Networks in Glasgow,” unpublished (October 2002).
  • Michael L. Gerlach, "The Japanese Corporate Network: A Blockmodel Analysis,"
    Administrative Science Quarterly 37 (March 1992): 105-139.

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