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Assuming that Brouwers Conjecture the upper bound for the sum of t< n largesteigenvalues of Laplacian graph on n vertices true for n <n_0, we prove theBrouwers Conjecture BC for n > n_0 for some fixed n_0

Proof of Brouwers Conjecture (BC) for all graphs with number of vertices n > n_0 assuming that BC holds for n< n_0 for some n_0