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This documents an unmaintained version of NetworkX. Please upgrade to a maintained version and see the current NetworkX documentation.

networkx.drawing.layout.spectral_layout

spectral_layout(G, weight='weight', scale=1, center=None, dim=2)[source]

Position nodes using the eigenvectors of the graph Laplacian.

Parameters:
  • G (NetworkX graph or list of nodes) – A position will be assigned to every node in G.
  • weight (string or None optional (default=’weight’)) – The edge attribute that holds the numerical value used for the edge weight. If None, then all edge weights are 1.
  • scale (number (default: 1)) – Scale factor for positions.
  • center (array-like or None) – Coordinate pair around which to center the layout.
  • dim (int) – Dimension of layout.
Returns:

pos – A dictionary of positions keyed by node
Return type:

dict

Examples

>>> G = nx.path_graph(4)
>>> pos = nx.spectral_layout(G)

Notes

Directed graphs will be considered as undirected graphs when positioning the nodes.

For larger graphs (>500 nodes) this will use the SciPy sparse eigenvalue solver (ARPACK).