Structural Equivalence Relationship

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A Structural Equivalence Relationship is a graph nodes similarity measure based on ...



References

1987

1981

  • (Holland and Leinhardt, 1981) ⇒ P. W. Holland, and S. Leinhardt. (1981), "An Exponential Family of Probability Distributions for Directed Graphs" (with discussion), Journal of the American Statistical Association, 76, 33-65.

1979

1971

  • (Lorrain & Harrison, 1971) ⇒ Francois Lorrain, and Harrison C. White. “Structural equivalence of individuals in social networks.” In: The Journal of mathematical sociology 1, no. 1 (1971): 49-80.
    • ABSTRACT: The aim of this paper is to understand the interrelations among relations within concrete social groups. Social structure is sought, not ideal types, although the latter are relevant to interrelations among relations. From a detailed social network, patterns of global relations can be extracted, within which classes of equivalently positioned individuals are delineated. The global patterns are derived algebraically through a ‘functorial’ mapping of the original pattern. Such a mapping (essentially a generalized homomorphism) allows systematically for concatenation of effects through the network. The notion of functorial mapping is of central importance in the ‘theory of categories,’ a branch of modern algebra with numerous applications to algebra, topology, logic. The paper contains analyses of two social networks, exemplifying this approach.