Table 1 Summary of network parameters used in this study
From: Musculoskeletal networks reveal topological disparity in mammalian neck evolution
Network parameter | Mathematical definition | Morphological interpretation |
|---|---|---|
Number of nodes (N) | Direct count of the number of nodes in the network | Number of anatomical elements |
Number of links (K) | Direct count of the number of links in the network | Number of anatomical relations (burden or constrain), connectivity |
Density of connections (D) | Relative amount of links: \( D=\frac{2K}{N\left(N-1\right)} \) | Morphological complexity |
Mean clustering coefficient (C) | Relative amount of 3-node loops: \( C=\frac{1}{N}\sum \frac{\sum {loops}_i}{k_i\left({k}_i-1\right)} \) where e i is the existing number of links among the neighbors of node i and k i is the total number of links of a node i | Co-dependency (integration) |
Mean shortest path length (L) | Average distance between every pair of nodes: \( L=\frac{1}{N-1}\sum {d}_{n_i,{n}_j} \) where d is the shortest distance in number of links between a given pair of nodes n i and n j | Effective proximity (integration) |
Heterogeneity of connections (H) | Disparity in the number of links per node: H = σ K /μ K where σ K and μ K are the standard deviation and mean of K, respectively | Anisomerism |
Parcellation (P) | Extent and uniformity of the modular division: P = 1 −  ∑ (N m /N)2 where N m is the number of nodes in module m | Degree of modularity |