brainconn.centrality
.erange¶
-
erange
(CIJ)[source]¶ Shortcuts are central edges which significantly reduce the characteristic path length in the network.
Parameters: CIJ (NxN numpy.ndarray
) – binary directed connection matrixReturns: - Erange (NxN
numpy.ndarray
) – range for each edge, i.e. the length of the shortest path from i to j for edge c(i,j) after the edge has been removed from the graph - eta (float) – average range for the entire graph
- Eshort (NxN
numpy.ndarray
) – entries are ones for shortcut edges - fs (float) – fractions of shortcuts in the graph
Notes
Follows the treatment of ‘shortcuts’ by Duncan Watts
- Erange (NxN