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This question is related to Spectral Clustering : Consider an undirected graph with non-negative edge weights w ij and graph Laplacian L . Suppose there
This question is related to Spectral Clustering:
Consider an undirected graph with non-negative edge weights wij and graph Laplacian L. Suppose there are m connected components A1, A2, . . . , Am in the graph. Show that there are m eigenvectors of L corresponding to eigenvalue zero, and the indicator vectors of these components IA1 , . . . , IAm span the zero eigenspace.
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