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Network Modularity in the Presence of Covariates
2019
SIAM Review
We characterize the large-sample properties of network modularity in the presence of covariates, under a natural and flexible null model. This provides for the first time an objective measure of whether or not a particular value of modularity is meaningful. In particular, our results quantify the strength of the relation between observed community structure and the interactions in a network. Our technical contribution is to provide limit theorems for modularity when a community assignment is
doi:10.1137/17m1111528
fatcat:6d5knd2khjfkrnpstxmv3flioy