most citedThe first eigenvalue of the Laplacian, isoperimetric constants, and the Max Flow Min Cut Theorem

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math.DG2005★ 2 cited

The first eigenvalue of the Laplacian, isoperimetric constants, and the Max Flow Min Cut Theorem

Daniel Grieser

We show how 'test' vector fields may be used to give lower bounds for the Cheeger constant of a Euclidean domain (or Riemannian manifold with boundary), and hence for the lowest ei…