Journal Article10.1016/S0378-8733(96)00297-3
Notes on blockmodeling
TL;DR: The proposed formalization of the blockmodeling of networks is cast as an optimization problem and a richer structure than ordinary (valued) graphs has to be used for a model.
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About: This article is published in Social Networks. The article was published on 01 Apr 1997. The article focuses on the topics: Optimization problem & Structure (category theory).
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References
Structural equivalence of individuals in social networks
TL;DR: In this article, the authors derive global patterns of global relations from a detailed social network, within which classes of equivalently positioned individuals are delineated by a "functorial" mapping of the original pattern.
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Graph and Semigroup Homomorphisms on Networks of Relations
TL;DR: The algebraic definitions presented here are motivated by the search for an adequate formalization of the concepts of social roles as regularities in social network patterns and represent significant homomorphic reductions of social networks which are possible using these defimtions to capture the role structure of a network.
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A partitioning approach to structural balance
Patrick Doreian,Andrej Mrvar +1 more
TL;DR: In this paper, a criterion function for a local optimization partitioning procedure for signed digraphs is proposed, which yields those partitions with the smallest number of errors, a measure of the imbalance in the graph and an identification of those links inconsistent with both generalized and structural balance.
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An optimizational approach to regular equivalence
TL;DR: A new criterion function is presented that operationalizes the concept of regular equivalence and provides a measure of the departure of any structure from an exact regular partition that is applied to partitions where the algorithm minimizes the criterion function.
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Partitioning networks based on generalized concepts of equivalence
TL;DR: It is argued that once committed to a specific form of equivalence, a network analyst must be committed also to an explicit method of assessing the extent to which a blockmodel is consistent with the selected form of interchangeability.
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