Integer symmetric matrices having all their eigenvalues in the interval [-2,2]
Combinatorics
2007-05-25 v1 Number Theory
Abstract
We completely describe all integer symmetric matrices that have all their eigenvalues in the interval [-2,2]. Along the way we classify all signed graphs, and then all charged signed graphs, having all their eigenvalues in this same interval. We then classify subsets of the above for which the integer symmetric matrices, signed graphs and charged signed graphs have all their eigenvalues in the open interval (-2,2).
Keywords
Cite
@article{arxiv.0705.3599,
title = {Integer symmetric matrices having all their eigenvalues in the interval [-2,2]},
author = {James McKee and Chris Smyth},
journal= {arXiv preprint arXiv:0705.3599},
year = {2007}
}