Irreducibility of spatial graphs
Geometric Topology
2007-05-23 v1
Abstract
A graph embedded in the 3-sphere is called irreducible if it is non-splittable and for any 2-sphere embedded in the 3-sphere that intersects the graph at one point the graph is contained in one of the 3-balls bounded by the 2-sphere. We show that irreducibility is preserved under certain deformations of embedded graphs. We show that certain embedded graphs are irreducible.
Cite
@article{arxiv.math/0107007,
title = {Irreducibility of spatial graphs},
author = {Kouki Taniyama},
journal= {arXiv preprint arXiv:math/0107007},
year = {2007}
}
Comments
4 pages, 4 figures