Unknottability of spatial graphs by region crossing changes
Geometric Topology
2020-10-06 v2
Abstract
A region crossing change is a local transformation on spatial graph diagrams switching the over/under relations at all the crossings on the boundary of a region. In this paper, we show that a spatial graph of a planar graph is unknottable by region crossing changes if and only if the spatial graph is non-Eulerian or is Eulerian and proper.
Cite
@article{arxiv.2009.12119,
title = {Unknottability of spatial graphs by region crossing changes},
author = {Yukari Funakoshi and Kenta Noguchi and Ayaka Shimizu},
journal= {arXiv preprint arXiv:2009.12119},
year = {2020}
}
Comments
12 pages, 8 figures