Intrinsic 3-linkedness is Not Preserved by $\text{Y}\nabla$ moves

Danielle O'Donnol

Intrinsic 3-linkedness is Not Preserved by $\text{Y}\nabla$ moves

Geometric Topology 2014-10-09 v1

Authors: Danielle O'Donnol

Abstract

This paper introduces a number of new intrinsically 3-linked graphs through five new constructions. We then prove that intrinsic 3-linkedness is not preserved by $\text{Y}\nabla$ moves. We will see that the graph $M$ , which is obtained through a $\text{Y}\nabla$ move on $(PG)^*_*(PG)$ , is not intrinsically 3-linked.

Keywords

intrinsically 3-linked graphs Y-nabla moves graph constructions topological graph theory linking number

Cite

@article{arxiv.1410.1971,
  title  = {Intrinsic 3-linkedness is Not Preserved by $\text{Y}\nabla$ moves},
  author = {Danielle O'Donnol},
  journal= {arXiv preprint arXiv:1410.1971},
  year   = {2014}
}

Comments

11 pages, 7 figures

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