Irreducibility of spatial graphs

Details Irreducibility of spatial graphs Irreducibility of spatial graphs

2001-07-02

arxiv.org/abs/math/0107007v1

Mathematics

Geometric Topology

4 pages, 4 figures

Scientific paper

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.

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