Connectivity and Generalized Cliques in Sociometric Group Structure  

Oleh:

Luce, R. Duncan

Jenis: Article from Journal - e-Journal
Dalam koleksi: Psychometrika: A Journal of Quantitative Psychology vol. 15 no. 2 (Jun. 1950), page 169-190.
Topik: Connectivity; Cliques; Sociometric Group
Fulltext: Connectivity and Generalized Cliques in Sociometric Group Structure.pdf (1.49MB)

Isi artikel

By using the concepts of antimetry andn-chain it is possible to define and to investigate some properties of connectivity in a sociometric group. It is shown that the number of elements in a group, the number of antimetries, and the degree of connectivity must satisfy certain inequalities. Using the ideas of connectivity, a generalized concept of clique, called ann-clique, is introduced.n-cliques are shown to have a very close relationship to the existence of cliques in an artificial structure defined on the same set of elements, thus permitting the determination ofn-cliques by means of the same simple matrix procedures used to obtain the clique structures. The presence of two or morem-cliques, wherem is the number of elements in the group, is proved to mean an almost complete splitting of the group.

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