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Algebraic models for social networks

Addressing the need for new models for the analysis of social network data, Philippa Pattison presents a unified approach to the algebraic analysis of both complete and local networks. The rationale for an algebraic approach to describing structure in social networks is outlined, and algebras representing different types of networks are introduced. Procedures for comparing algebraic representations are described, and a method of analysing the representations into simpler components is introduced. This analytic method, factorisation, yields an efficient analysis of both complete and local...

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