brainconn.clustering.transitivity_wd

transitivity_wd(W)[source]

Transitivity is the ratio of ‘triangles to triplets’ in the network. (A classical version of the clustering coefficient).

Parameters:W (NxN numpy.ndarray) – weighted directed connection matrix
Returns:
  • T (int) – transitivity scalar
  • Methodological note (also see note for clustering_coef_bd)
  • The weighted modification is as follows
  • - The numerator (adjacency matrix is replaced with weights matrix ^ 1/3)
  • - The denominator (no changes from the binary version)
  • The above reduces to symmetric and/or binary versions of the clustering
  • coefficient for respective graphs.