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Graph Theorymedium
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Consider a graph GGG defined by its adjacency matrix AAA. If the eigenvalues of the adjacency matrix AAA are λ1,λ2,...,λn\lambda_1, \lambda_2, ..., \lambda_nλ1​,λ2​,...,λn​, what is the sum of the squares of the eigenvalues ∑i=1nλi2\sum_{i=1}^n \lambda_i^2∑i=1n​λi2​ equal to?