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Table 2 Traits of degree heterogeneity among proposed normalisations

From: Normalised degree variance

  Defined forComputationalComplementsValue forValue forValue for
MetricNormalisedall networksefficiencyhave equal valuesstar graphregular graphrandom graph
vNoYesHighYes as n0(n−1)p(1−p)
\(\bar {v}\)YesYesHighYes→1 as n0≈2/n
σ2(Zimmermann et al. 2004)NoYesHighNo as n0depends on n and p
J(Snijders 1981)NoYesLowNo10depends on n and p
ρ(Estrada 2010)YesNoModerateNo10depends on n and p