Consider the eigenvectors of the normalized Laplacian L norm as graph Fourier basis. Denote the eigenvalues as ? ` and corresponding eigenvector as u `. Answer the following:
(a)
(b)
(c)
(a)
where di is the degree of node i and d is the vector contaning all the node degrees. Note that in ?
d the square-root is applied component-wise.
(b)
(c)
Computer Science & Information Technology
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