Spectral ordering and 2-switch transformations
Combinatorics
2020-06-25 v1
Abstract
We address the problem of ordering trees with the same degree sequence by their spectral radii. To achieve that, we consider 2-switch transformations which preserve the degree sequence and establish when the index decreases. Our main contribution is to determine a total ordering of a particular family by their indices according to a given parameter related to sizes in the tree.
Keywords
Cite
@article{arxiv.2006.13870,
title = {Spectral ordering and 2-switch transformations},
author = {Elismar R. Oliveira and Victor N. Schvöllner and Vilmar Trevisan},
journal= {arXiv preprint arXiv:2006.13870},
year = {2020}
}
Comments
15 figures