Structural equivalence (Lorrain and White, 1971) and automorphic equivalence (Everett, 1985) are generalized to define neighborhood- and ego-centered equivalences. It is shown that local versions of these equivalences can then be formulated quite naturally. In addition to these natural localizations, a generalized procedure capable of localizing any model of role equivalence is presented. From a theoretical point of view, local roles are recommended by the notion that network influences on ego diminish with distance. From a practical point of view, local roles help find structure in graphs where global equivalences find no two actors equivalent.
|Number of pages||10|
|Journal||The Journal of Mathematical Sociology|
|State||Published - Jan 1 1990|
ASJC Scopus subject areas
- Algebra and Number Theory
- Social Sciences (miscellaneous)
- Sociology and Political Science