Changing gears: Isospectrality via eigenderivative transplantation
Spectral Theory
2015-09-14 v1 Combinatorics
Abstract
We introduce a new method for constructing isospectral quantum graphs that is based on transplanting derivatives of eigenfunctions. We also present simple digraphs with the same reversing zeta function, which generalizes the Bartholdi zeta function to digraphs.
Keywords
Cite
@article{arxiv.1509.03549,
title = {Changing gears: Isospectrality via eigenderivative transplantation},
author = {Peter Doyle and Peter Herbrich},
journal= {arXiv preprint arXiv:1509.03549},
year = {2015}
}
Comments
9 pages, 3 figures