Abstract. In this paper we present a general procedure that allows for the reduction or expansion of any network (considered as a weighted graph). This procedure maintains the spectrum of theâ€¦ (More)

One of the most important features observed in real networks is that, as a networkâ€™s topology evolves so does the networkâ€™s ability to perform various complex tasks. To explain this, it has also beenâ€¦ (More)

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 weâ€¦ (More)

We present a general and flexible procedure which allows for the reduction (or expansion) of any dynamical network while preserving the spectrum of the networkâ€™s adjacency matrix. Computationally,â€¦ (More)

An isospectral matrix reduction is a procedure that reduces the size of a matrix while maintaining its eigenvalues up to a known set. As to not violate the fundamental theorem of algebra, the reducedâ€¦ (More)