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Meso-scale structures are network features where nodes with similarproperties are grouped together instead of being treated individually. In thiswork, we provide formal and mathematical definitions of three such structures:assortative communities, disassortative communities and core-periphery. We thenleverage these definitions and a Bayesian framework to quantify thepresence/absence of each structure in a network. This allows for probabilisticstatements about the network structure as well as uncertainty estimates of thegroup labels and edge probabilities. The method is applied to real-worldnetworks, yielding provocative results about well-known network data sets.

Quantifying the presence/absence of meso-scale structures in networks