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We calculate explicit formulae for the Shannon entropies of several familiesof tailored random graph ensembles for which no such formulae were as yetavailable, in leading orders in the system size. These include bipartite graphensembles with imposed (and possibly distinct) degree distributions for the twonode sets, graph ensembles constrained by specified node neighbourhooddistributions, and graph ensembles constrained by specified generalised degreedistributions.

Entropies of tailored random graph ensembles: bipartite graphs, generalised degrees, and node neighbourhoods