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Finding Hidden Structures, Hierarchies, and Cores in Networks via Isospectral Reduction

. Red vertices are symmetric and the yellow vertex is latently symmetric with the two red vertices. (Right) A Metabolic network of the eukaryotic organism Arabidopsis Thaliana [ 23 ]. Latently symmetric vertices are colored red. A second example of a latent symmetry in real-world network data is in the metabolic network for the cellular processes in Arabidopsis thaliana , a eukaryotic organism [23]. This is a biological network of chemical reactions. Figure 4 (right) shows the the largest strongly connected component of this network. Here vertices represent

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