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Spatial Graphs with Local Knots
Revista Matemática Complutense
  • Erica Flapan
  • Blake Mellor, Loyola Marymount University
  • Ramin Naimi
Document Type
Article - post-print
Publication Date
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.

This is a post-print version of the article.

Citation Information
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.