Lattices and dimensional representations: Matrix decompositions and ordering structures

Philippa E. Pattison, Ronald L. Breiger

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


This paper is concerned with some methods that attempt to provide simultaneous representation of dual relationships, such as ties of membership that connect persons and groups, or connections between organizations and agendas. We focus on vector space and lattice representations, and on techniques for simplifying the structure of dual networks. We demonstrate some fundamental similarities among these approaches.

Original languageEnglish (US)
Pages (from-to)423-444
Number of pages22
JournalSocial Networks
Issue number4
StatePublished - Oct 2002


  • Boolean vector
  • Lattice representation
  • Matrix decomposition

ASJC Scopus subject areas

  • Anthropology
  • Sociology and Political Science
  • Social Sciences(all)
  • Psychology(all)


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