2-switch: transition and stability on graphs and forests
Combinatorics
2020-04-24 v1
Abstract
Given any two forests with the same degree sequence, we show in an algorithmic way that one can be transformed into the other by a sequence of 2-switches in such a way that all the intermediate graphs of the transformation are forests. We also prove that the 2-switch operation perturbs minimally some well-known integer parameters in families of graphs with the same degree sequence. Then, we apply these results to conclude that the studied parameters have the interval property on those families.
Cite
@article{arxiv.2004.11164,
title = {2-switch: transition and stability on graphs and forests},
author = {Daniel A. Jaume and Adrián Pastine and Victor Nicolas Schvöllner},
journal= {arXiv preprint arXiv:2004.11164},
year = {2020}
}
Comments
23 pages, 2 figures