  We employ the recently developed theory of isospectral network reductions to
analyze multi-mode social networks. This procedure allows us to uncover the
hierarchical structure of the networks we consider as well as the hierarchical
structure of each mode of the network. Additionally, by performing a dynamical
analysis of these networks we are able to analyze the evolution of their
structure allowing us to find a number of other network features. We apply both
of these approaches to the Southern Women Data Set, one of the most studied
social networks and demonstrate that these techniques provide new information,
which complements previous findings.
