The Structure and Enumeration of Link Projections
Geometric Topology
2009-09-25 v1
Abstract
We define a decomposition of link projections whose pieces we call atoroidal graphs. We describe a surgery operation on these graphs and show that all atoroidal graphs can be generated by performing surgery repeatedly on a family of well known link projections. This gives a method of enumerating atoroidal graphs and hence link projections by recomposing the pieces of the decomposition.
Keywords
Cite
@article{arxiv.math/9411211,
title = {The Structure and Enumeration of Link Projections},
author = {Martin Bridgeman},
journal= {arXiv preprint arXiv:math/9411211},
year = {2009}
}