Table 2 Traits of degree heterogeneity among proposed normalisations
Defined for | Computational | Complements | Value for | Value for | Value for | ||
|---|---|---|---|---|---|---|---|
Metric | Normalised | all networks | efficiency | have equal values | star graph | regular graph | random graph |
v | No | Yes | High | Yes | →∞ as n→∞ | 0 | (n−1)p(1−p) |
\(\bar {v}\) | Yes | Yes | High | Yes | →1 as n→∞ | 0 | ≈2/n |
No | Yes | High | No | →∞ as n→∞ | 0 | depends on n and p | |
No | Yes | Low | No | 1 | 0 | depends on n and p | |
ρ(Estrada 2010) | Yes | No | Moderate | No | 1 | 0 | depends on n and p |