Loose ear decompositions and their applications to right-angled Artin groups
Group Theory
2024-08-20 v2
Abstract
We characterize planar graphs and graph minors among other graph theoretic notions in terms of right-angled Artin groups (RAAGs). For this, we determine all sets of elements in RAAGs with ears as underlying graphs that are exactly the sets of vertex generators. Generalizing ear decompositions of graphs to loose ear decompositions, we characterize both decompositions in terms of RAAGs. The desired results follow as applications of loose ear decompositions of RAAGs.
Keywords
Cite
@article{arxiv.2307.08459,
title = {Loose ear decompositions and their applications to right-angled Artin groups},
author = {Max Gheorghiu},
journal= {arXiv preprint arXiv:2307.08459},
year = {2024}
}
Comments
Accepted in the "International Journal of Algebra and Computation"