def erange(cmatrix):
""" Computes the range for each edge (i.e., the shortest path length
between the nodes it connects after the edge has been removed from the
graph). Shorcuts are links which significantly reduce the characteristic
path length. This function detects shortcuts, hence being a variant of
edge betweenness centrality.
Parameters
----------
cmatrix : connection/adjacency matrix
Returns
-------
Erange : 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 average range for entire graph.
Eshort entries are ones for edges that are shortcuts.
fs fraction of shortcuts in the graph.
Follows the treatment of 'shortcuts' by Duncan Watts (1999)
Olaf Sporns, Indiana University, 2002/2007/2008
"""
m = bct.to_gslm(cmatrix.tolist())
era = bct.erange(m)
eranp = bct.from_gsl(era)
bct.gsl_free(m)
bct.gsl_free(era)
return np.asarray(eranp)
def erange(cmatrix):
""" Computes the range for each edge (i.e., the shortest path length
between the nodes it connects after the edge has been removed from the
graph). Shorcuts are links which significantly reduce the characteristic
path length. This function detects shortcuts, hence being a variant of
edge betweenness centrality.
Parameters
----------
cmatrix : connection/adjacency matrix
Returns
-------
Erange : 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 average range for entire graph.
Eshort entries are ones for edges that are shortcuts.
fs fraction of shortcuts in the graph.
Follows the treatment of 'shortcuts' by Duncan Watts (1999)
Olaf Sporns, Indiana University, 2002/2007/2008
"""
m = bct.to_gslm(cmatrix.tolist())
era = bct.erange(m)
eranp = bct.from_gsl(era)
bct.gsl_free(m)
bct.gsl_free(era)
return np.asarray(eranp)
def erange(*args): return _bct.erange(*args)
def erange(*args):
return _bct.erange(*args)
def erange(*args): """erange(gsl_matrix CIJ) -> gsl_matrix""" return _bct.erange(*args)
def erange(*args):
"""erange(gsl_matrix CIJ) -> gsl_matrix"""
return _bct.erange(*args)
