Graph Theorymedium
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Consider a graph GG defined by its adjacency matrix AA. If the eigenvalues of the adjacency matrix AA are λ1,λ2,...,λn\lambda_1, \lambda_2, ..., \lambda_n, what is the sum of the squares of the eigenvalues i=1nλi2\sum_{i=1}^n \lambda_i^2 equal to?