Spatial graphs with local knots

@inproceedings{Flapan2010SpatialGW,
  title={Spatial graphs with local knots},
  author={Erica Flapan and Blake Mellor and Ramin Naimi},
  year={2010}
}
It is shown that for any locally knotted edge of a 3-connected graph in S^3, there is a ball that contains all of the local knots of that edge and it is unique up to an isotopy setwise fixing the graph. This result is applied to the study of topological symmetry groups of graphs embedded in S^3. Response to Reviewers: See attachment. SPATIAL GRAPHS WITH LOCAL KNOTS ERICA FLAPAN, BLAKE MELLOR, AND RAMIN NAIMI Abstract. It is shown that for any locally knotted edge of a 3-connected graph in S… CONTINUE READING