Torsional Rigidity, Isospectrality and Quantum Graphs
Spectral Theory
2017-01-04 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1607.05752,
title = {Torsional Rigidity, Isospectrality and Quantum Graphs},
author = {Don Colladay and Leon Kaganovskiy and Patrick McDonald},
journal= {arXiv preprint arXiv:1607.05752},
year = {2017}
}
Comments
15 pages, 5 figures