F. Lorrain and H. C. White. The structural equivalence of individuals in social networks. Journal of Mathematical Sociology, 1:49-80, 1971. Home/Search Document Not in Database Summary Related Articles Check |
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Regular Equivalence and Dynamic Logic - Marx, Masuch (2002) (Correct)
....by an equivalence relation on the set of actors. The equivalence classes then give the di erent positions in a network. For a famous example, see Figure 1, the cover of Mintzberg [8] There are several proposals in the literature for equivalence relations; we mention structural equivalence [7], regular equivalence [13, 17] and local role equivalence [18] 10] relates these and more proposals (a deeper analysis is in her book [11] cf. also [16] In this paper, we will solely concentrate on regular equivalence as the relation which de nes social positions. Thus we will study the ....
F. Lorrain and H. C. White. The structural equivalence of individuals in social networks. Journal of Mathematical Sociology, 1:49-80, 1971.
The Organisation of Sociality: A Manifesto for a New.. - Panzarasa, Jennings (2001) (3 citations) (Correct)
.... ways in which conflict between agents and or subgroups is managed [12, 19] Fourth, the structural properties of the inter agent social network, namely its dimension, connectivity, degree centrality, betweenness centrality, structural equivalence, clustering, and the number and forms of cliques [28, 46]. Finally, the set of physical objects and resources that are used within the system. All the above contextual factors need to be consistent with one another, in that, each of them is constrained by and constrains all the others. Also, they need to be consistent with the set of the agents who ....
Lorrain F. and White H. C. (1971). Structural equivalence of individuals in social networks, Journal of Mathematical Sociology, 1, 49-80.
Notes on Blockmodeling - Vladimir Batagelj Department (1997) (Correct)
....of the set of units V . A (surjective) mapping : V U determines a blockmodel M of network N iff it satisfies the conditions: 8(t; w) 2 K : t; w) C(t) C(w) and 8(t; w) 2 U Theta U n K : nul(C(t) C(w) Note that, if we set T = fnul; comg we are asking for a structural blockmodel [9]; and, if we set T = fnul; regg we are asking for a regular blockmodel [11] 6 4.2 Equivalences Let be an equivalence relation over V . It partitions the set of units V into classes (clusters) x] fy 2 V : x yg We say that is compatible with T over a network N iff 8x; y 2 V 9T 2 T : T ....
F. Lorrain and H.C. White. Structural equivalence of individuals in social networks. Journal of Mathematical Sociology, 1:49--80, 1971.
Estimation and Prediction for Stochastic Blockstructures - Nowicki, Snijders (Correct)
....rearranging the matrix y according to the values of the attributes divides this matrix into blocks, each consisting of outcomes of an array of identically distributed random variables. In the deterministic version of this model, the blocks consist entirely of either 0 s or 1 s. In this situation, Lorrain and White (1971) defined actors with the same attribute values, and therefore with the same ties to other actors, to be structurally equivalent. The importance of this equivalence concept was discussed by White, Boorman and Breiger (1976) and this concept is now established as a major tool in positional role ....
LORRAIN, F., and WHITE, H.C. (1971), "Structural equivalence of individuals in social networks", Journal of Mathematical Sociology, 1, 49 -- 80.
Symmetric-Acyclic Decompositions of Networks - Patrick Doreian University (1998) (Correct)
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LORRAIN, F., and WHITE, H.C. (1971), "Structural Equivalence of Individuals in Social Networks," Journal of Mathematical Sociology, 1, 49--80.
Generalized Blockmodeling - Batagelj, Ferligoj, Doreian (Correct)
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Lorrain, F. and H.C. White (1971): Structural equivalence of individuals in social networks. Journal of Mathematical Sociology, 1:49--80.
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