English

Intrinsically knotted graphs with linklessly embeddable simple minors

Geometric Topology 2024-04-24 v1 Combinatorics

Abstract

It has been an open question whether the deletion or contraction of an edge in an intrinsically knotted graph always yields an intrinsically linked graph. We present a new intrinsically knotted graph that shows the answer to both questions is no.

Keywords

Cite

@article{arxiv.2111.08859,
  title  = {Intrinsically knotted graphs with linklessly embeddable simple minors},
  author = {Thomas W. Mattman and Ramin Naimi and Andrei Pavelescu and Elena Pavelescu},
  journal= {arXiv preprint arXiv:2111.08859},
  year   = {2024}
}

Comments

22 pages, 31 figures, 1 table

R2 v1 2026-06-24T07:41:33.624Z