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Algebraic Models for Social Networks (Structural Analysis in the Social Sciences)
 
 
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Algebraic Models for Social Networks (Structural Analysis in the Social Sciences) [Hardcover]

Philippa Pattison (Author)

Price: $126.00 & this item ships for FREE with Super Saver Shipping. Details
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Book Description

September 24, 1993 0521365686 978-0521365680
As the analysis of social networks, or networks of interpersonal and social relationships among social groups, has become an increasingly important method of research in several of the social and behavioral sciences, the gathering of network data has outpaced the development of new methods for its analysis. Addressing the need for new analytical tools, Philippa Pattison presents a number of new algebraic models for the analysis of network data, explaining in the process the rationale for an algebraic approach. Models are developed for both complete networks, meaning those representing the social ties between all pairs of members in a given group, and local networks, meaning those structured around the social ties of one particular group member. Many applications are presented and the ways that these methods can address a number of important issues confronting network analysis are explained.

Editorial Reviews

Review

"...an excellent discussion of the structure of social networks. There is a wealth of information here and it is a great joy now to have it all in one place." IJCS

"I admire the intellectual achievement that Pattison presents here. Her book advances the algebraic approach significantly through imaginative conceptual extensions of ideas stated by the White group, together with implementations for data analysis. These yield appreciable progress toward a rigorous basis for network comparisons, which remains one of the most important and vexing problems in the study of social networks." Peter V. Marsden, Contemporary Sociology

Book Description

Philippa Pattison presents a number of algebraic models for the analysis of network data in the social sciences and explains the rationale behind the algebraic approach.

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Inside This Book (learn more)
First Sentence:
Social networks are collections of social or interpersonal relationships linking individuals in a social grouping. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
local role algebra, isotone homomorphism, central representatives condition, extended automorphic equivalence, right multiplication table, relational interlock, multirelational network, maximal complement, subdirect representations, monogenic semigroup, role algebras, network algebras, distinctions among relations, generator labels, stochastic blockmodels, finite sublattice, idempotent relations, algebra nested, regular equivalence, factorisation procedure, derived network, semigroup representation, labelled paths, reduction diagram, quotient semigroups
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Generator Element, Element Class, General Social Survey, Axiom of Quality, Label Element Word, Relation Network, Generator Label Element, Label Element Right, Word Generator
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