Consider the graph shown in Figure 9.1



(a) Calculate Laplacian quadratic forms of all the eigenvectors of the graph Laplacian.

(b) Calculate total variations of all the eigenvectors of the graph Laplacian.

(c) Compare results of parts (a) and (b).

















Note that all the eigenvectors havebeen normalized to have unit



`



2-norms.

Computer Science & Information Technology

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