Spatial Graphs with Local Knots

Authors

Erica Flapan
Blake Mellor, Loyola Marymount UniversityFollow
Ramin Naimi

Document Type

Article - post-print

Publication Date

2012

Abstract

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.

Comments

This is a post-print version of the article.

Original Publication Citation

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.

Digital Commons @ LMU & LLS Citation

Flapan, Erica; Mellor, Blake; and Naimi, Ramin, "Spatial Graphs with Local Knots" (2012). Mathematics, Statistics and Data Science Faculty Works. 19.
https://digitalcommons.lmu.edu/math_fac/19