Table 2. Scaling exponents (, , ) for the different species.
Species | Scale-free | Exponential | Fractal | |||
eco | 1.9(1) | 3.6(3) | 1.3(4) | Yes | No | Yes |
sce | 3.0(2) | 1.5(1) | No | Yes | Yes | |
ath | 1.5(1) | 2.1(2) | No | Yes | Yes | |
cel | 2.6(1) | 1.6(1) | 1.8(2) | Yes | No | Yes |
dme | 3.0(1) | 1.6(1) | 1.3(2) | Yes | No | Yes |
mmu | 2.9(1) | 1.7(1) | 2.0(1) | Yes | No | Yes |
hsa | 2.9(2) | 2.0(1) | No | Yes | Yes |
According to the values of the scaling exponents, the seven species listed are grouped into two categories: scale-free fractal networks and exponential (non-scale-free) fractal networks. The scale-free networks have a power-law degree distribution with exponent , and the non-scale-free fractal networks have an exponential degree distribution with . Notice that none of the networks are small-world. Instead, they are characterized by fractal/modular structures.