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Torsional Rigidity, Isospectrality and Quantum Graphs

arXiv:1607.05752 · doi:10.1088/1751-8121/50/3/035201

Abstract

We study torsional rigidity for graph and quantum graph analogs of well-known pairs of isospectral non-isometric planar domains. We prove that such isospectral pairs are distinguished by torsional rigidity.

15 pages, 5 figures