Entropies of tailored random graph ensembles: bipartite graphs, generalized degrees, and node neighbourhoods
نویسندگان
چکیده
We calculate explicit formulae for the Shannon entropies of several families of tailored random graph ensembles for which no such formulae were as yet available, in leading orders in the system size. These include bipartite graph ensembles with imposed (and possibly distinct) degree distributions for the two node sets, graph ensembles constrained by specified node neighbourhood distributions, and graph ensembles constrained by specified generalized degree distributions. (Some figures may appear in colour only in the online journal)
منابع مشابه
Entropies of tailored random graph ensembles: bipartite graphs, generalised degrees, and node neighbourhoods
We calculate explicit formulae for the Shannon entropies of several families of tailored random graph ensembles for which no such formulae were as yet available, in leading orders in the system size. These include bipartite graph ensembles with imposed (and possibly distinct) degree distributions for the two node sets, graph ensembles constrained by specified node neighbourhood distributions, a...
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