Bounds on the negative eigenvalues of Laplacians on finite metric graphs
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🧮 math.SP
math-phmath.MP
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finitemetricboundscompacteigenvaluesgraphsnegativederived
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For a self--adjoint Laplace operator on a finite, not necessarily compact, metric graph lower and upper bounds on each of the negative eigenvalues are derived. For compact finite metric graphs Poincar\'{e} type inequalities are given.
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