English

The Y-triangle move does not preserve Intrinsic Knottedness

Geometric Topology 2012-05-23 v1 Combinatorics

Abstract

We answer the question "Does the Y-triangle move preserve intrinsic knottedness?" in the negative by giving an example of a graph that is obtained from the intrinsically knotted graph K_7 by triangle-Y and Y-triangle moves but is not intrinsically knotted.

Cite

@article{arxiv.1205.4798,
  title  = {The Y-triangle move does not preserve Intrinsic Knottedness},
  author = {Erica Flapan and Ramin Naimi},
  journal= {arXiv preprint arXiv:1205.4798},
  year   = {2012}
}

Comments

5 pages, 2 figures

R2 v1 2026-06-21T21:07:41.011Z