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Assortativity and bidegree distributions on Bernoulli random graph superpositions
2021
Probability in the engineering and informational sciences (Print)
A probabilistic generative network model with $n$ nodes and $m$ overlapping layers is obtained as a superposition of $m$ mutually independent Bernoulli random graphs of varying size and strength. When $n$ and $m$ are large and of the same order of magnitude, the model admits a sparse limiting regime with a tunable power-law degree distribution and nonvanishing clustering coefficient. In this article, we prove an asymptotic formula for the joint degree distribution of adjacent nodes. This yields
doi:10.1017/s0269964821000310
fatcat:zum4bgvzyjbdnlxkexhfoubmpe