Description Usage Arguments Value Author(s) References Examples
Get the Laplacian matrix of an observed graph. Both unnormalised and symmetric normalised Laplacian matrices are included.
1 | laplacian(A, normalised = F)
|
A |
input matrix – adjacency matrix of an observed graph, of dimension n-nodes x n-nodes. |
normalised |
whether the Laplacian matrix is normalised or not. |
if normalised = F
, an unnormalised Laplacian matrix is returned, i.e. L = D - A; if normalised = T
, a symmetric normalised Laplacian matrix is returned, i.e. L = D^{-1/2}(D - A)D^{-1/2}. D is the degree diagonal matrix, with diagonal entries d_i = ∑_{j = 1}^nA_{ij}.
Yang Feng, Richard J. Samworth and Yi Yu
Yang Feng, Richard J. Samworth and Yi Yu, Community Detection via Fused Principal Component Analysis, manuscript.
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