Article - post-print
It is shown that for any locally knotted edge of a 3-connected graph in S3, there is a ball that contains all of the local knots of that edge and 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 S3.
Mellor, B., E. Flapan and R. Naimi, 2012: Spatial Graphs with Local Knots, Revista Matemática Complutense, 25.2, 493-510, DOI: 10.1007/s13163-011-0072-9.
This is a post-print version of the article.