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 embedd graphs are irreducible.
| Original language | English |
|---|---|
| Pages (from-to) | 121-124 |
| Number of pages | 4 |
| Journal | Journal of Knot Theory and its Ramifications |
| Volume | 11 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2002 |
Keywords
- Irreducible graph
- Spatial graph
ASJC Scopus subject areas
- Algebra and Number Theory