Network.laplacian_matrix

Network.laplacian_matrix(normalize=False, rtype='array')[source]

Construct a Laplacian matrix from a Network datastructure.

Parameters

  • network (Network) – Network data structure.

  • normalize (bool, optional) – If True, normalize the entries such that the value on the diagonal is 1.

  • rtype (Literal[‘array’, ‘csc’, ‘csr’, ‘coo’, ‘list’], optional) – Format of the result.

Returns

array_like – Constructed Laplacian matrix.

Notes

d = L.dot(xyz) is currently a vector that points from the centroid to the node. Therefore c = xyz - d. By changing the signs in the laplacian, the dsiplacement vectors could be used in a more natural way c = xyz + d.