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The article presents information on factoring and weighing approaches to status scores and clique identification. Three very different techniques for devising indices or popularity or centrality have, with small variation, one basic solution for symmetric social structure. The resulting popularity or centrality scores have the advantage that they can be interpreted in all three different ways and the isolation of the essential identity of the techniques will be shown that this solution gives the clique structure at a glance. The solution described in this paper only works for symmetric structures. Some social structures are naturally symmetric or can reasonably be made so. For example, talking to one another, spending time together, dating and other behavioral relations are naturally symmetric. Friendship could be defined to include only reciprocal choices. An index of centrality in a commuication structure might be desired as a clue to how fast information will spread from an individual or to how much power an individual has because of his key position in the communication network.

In the context of analyzing social structures through the use of graph theory, some binary matrix operations for valued graphs are presented. These operations are demonstrated in the analysis of social network data presented by Kapferer. Further examples of where the procedures should prove useful are suggested. [ABSTRACT FROM AUTHOR]