This documents an unmaintained version of NetworkX. Please upgrade to a maintained version and see the current NetworkX documentation.
laplacian_matrix(G, nodelist=None, weight='weight')[source]¶
Return the Laplacian matrix of G.
The graph Laplacian is the matrix L = D - A, where A is the adjacency matrix and D is the diagonal matrix of node degrees.
- 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.
L – The Laplacian matrix of G.
SciPy sparse matrix
For MultiGraph/MultiDiGraph, the edges weights are summed.