From Affiliation Matrices to Adjacency Matrices: Methods and Techniques for the Analysis of Centrality

Abstract

In the analysis of 2-mode networks, the transition from affiliation matrices to adjacency matrices formalizes the information on overall actors' participation in the occasions, in a way that does not allow to exploit the whole amount of information in some analysis, such as centrality. In this article, I propose a procedure for the calculation of a different and more informative adjacency matrix; moreover, I propose an adaptation for Freeman centrality indices; this adaptation accounts for the different organization of the information on the intersubset ties, which allows the computation of centrality using all the available information. Finally, I empirically illustrate the introduced procedures, and the information they allow to retrieve, analyzing a real 2-mode network known in the literature.

Keywords:

• centrality
• social networks
• two-mode networks

Notes

Note. APM = asymmetric proximity matrix; SPM = social proximity matrix.

Note. APM = asymmetric proximity matrix; SPM = social proximity matrix.

Note. APM = asymmetric proximity matrix; SPM = social proximity matrix.

Note. APM = asymmetric proximity matrix; SPM = social proximity matrix.