Abstract
A region crossing change is a local transformation on spatial graph diagrams switching the over/under relation 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.
Acknowledgments
The authors are very grateful to Ryo Nikkuni for helpful comments. They are also very grateful to the anonymous referee for careful reading and suggestions. The second author's work was partially supported by JSPS KAKENHI Grant Number 17K14239.
Citation
Yukari Funakoshi. Kenta Noguchi. Ayaka Shimizu. "Unknottability of spatial graphs by region crossing changes." Osaka J. Math. 60 (3) 671 - 682, July 2023.
Information
