networkx.linalg.spectrum.normalized_laplacian¶

networkx.linalg.spectrum.normalized_laplacian(G, nodelist=None, weight='weight')¶

Return the normalized Laplacian matrix of G.

The normalized graph Laplacian is the matrix NL=D^(-1/2) L D^(-1/2) L is the graph Laplacian and D is the diagonal matrix of node degrees.

Parameters :

G : graph

A NetworkX graph

nodelist : list, optional

The rows and columns are ordered according to the nodes in nodelist. If nodelist is None, then the ordering is produced by G.nodes().

weight : string or None, optional (default=’weight’)

The edge data key used to compute each value in the matrix. If None, then each edge has weight 1.

Returns :

L : NumPy array

Normalized Laplacian of G.