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The Dirichlet-to-Neumann operator for quantum graphs

Published 21 Dec 2017 in math.SP | (1712.08223v1)

Abstract: For a compact, connected metric graphs with a boundary that consists of $k$ vertices, we prove that an arbitrary symmetric $k\times k$ matrix with real entries can be realized as the Dirichlet-to-Neumann operator for the Laplacian plus a constant.

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