Fig. 2. Schematics of geometric and topological constraints during the weight permutation.

a Constraint on geometry to preserve the spatial relationship between weights and lengths of structural connections in the connectome. A small circle corresponds to an edge in networks. Weights were permuted within each bin of lengths. The manner to determine the number of length bins is described in “Methods section”. b Constraint on topology to preserve the community structure of the connectome. Weights were permuted within each community or between communities. c Constraint on topology to preserve the interconnected hub structure of the connectome. Small circles and lines between them represent nodes and edges, respectively. Weights were permuted within edges connecting a node of degree = d and another node of degree ≥ d. Colors of bins in a, colors of communities in b, and colors of edge categories in c are independent and not related to each other.