Fig 7. Similarity between the hierarchical community structure of structural and functional brain graphs.

(A) The similarity between the allegiance matrices of the hierarchical community structures of the FC and SC graphs. Specifically, we calculate the Pearson correlation coefficient between allegiance matrix elements of SC at a given γ and the allegiance matrix elements of FC at a given γ, for all possible γ pairs, allowing us to identify the alignment that results in the highest similarity between their allegiance matrices (marked by $*$ in the plot). Note that a direct comparison between FC and SC allegiance matrices across corresponding layers shows relatively small correlation values (first row). Nevertheless, shifting the SC matrix towards higher layers yields higher correlation values and thus a better allegiance between FC and SC matrixes across topological scales. The dashed white lines in panel (B) highlight the layers where the SC and FC realignment yield highest similarity values. (C) The thresholded allegiance matrices of layers highlighted by dashed lines in panel (B) of the FC and SC hierarchical communities. FC and SC allegiance matrices are ordered identically based on their original node labels.