1211.4139 (Amru Hussein)

Bounds on the negative eigenvalues of Laplacians on finite metric graphs    [PDF]

Amru Hussein

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.

View original: http://arxiv.org/abs/1211.4139