Ego-centered and local roles: A graph theoretic approach

Martin G. Everett, John P. Boyd, Stephen P. Borgatti

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)163-172
Number of pages10
JournalThe Journal of Mathematical Sociology
Volume15
Issue number3-4
DOIs
StatePublished - Jan 1 1990

Keywords

  • ego
  • equivalence
  • graph
  • local
  • Network
  • role

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Social Sciences (miscellaneous)
  • Sociology and Political Science

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