2-switch: transition and stability on forests and pseudofests
Combinatorics
2026-03-12 v2
Abstract
Given any two forests (pseudoforests) with the same degree sequence, we show 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 (pseudoforests). 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.
Keywords
Cite
@article{arxiv.2603.07439,
title = {2-switch: transition and stability on forests and pseudofests},
author = {Victor N. Schvöllner and Adrián Pastine and Daniel A. Jaume},
journal= {arXiv preprint arXiv:2603.07439},
year = {2026}
}
Comments
Title metadata updated to correct a typographical error