Symmetric Squares of Graphs
Combinatorics
2007-05-23 v1 Quantum Physics
Abstract
We consider symmetric powers of a graph. In particular, we show that the spectra of the symmetric square of strongly regular graphs with the same parameters are equal. We also provide some bounds on the spectra of the symmetric squares of more general graphs. The connection with generic exchange Hamiltonians in quantum mechanics is discussed in an appendix.
Cite
@article{arxiv.math/0507251,
title = {Symmetric Squares of Graphs},
author = {Koenraad Audenaert and Chris Godsil and Gordon Royle and Terry Rudolph},
journal= {arXiv preprint arXiv:math/0507251},
year = {2007}
}