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• W2978062231 abstract "Abstract We study the average nearest-neighbour degree a ( k ) of vertices with degree k . In many real-world networks with power-law degree distribution, a ( k ) falls off with k , a property ascribed to the constraint that any two vertices are connected by at most one edge. We show that a ( k ) indeed decays with k in three simple random graph models with power-law degrees: the erased configuration model, the rank-1 inhomogeneous random graph, and the hyperbolic random graph. We find that in the large-network limit for all three null models, a ( k ) starts to decay beyond $n^{(tau-2)/(tau-1)}$ and then settles on a power law $a(k)sim k^{tau-3}$ , with $tau$ the degree exponent." @default.
• W2978062231 created "2019-10-10" @default.
• W2978062231 creator A5003521828 @default.
• W2978062231 date "2019-09-01" @default.
• W2978062231 modified "2023-10-18" @default.
• W2978062231 title "Degree correlations in scale-free random graph models" @default.
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• W2978062231 doi "https://doi.org/10.1017/jpr.2019.45" @default.
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