English

Every infinitely edge-connected graph contains the Farey graph or $T_{\aleph_0}\!\ast t$ as a minor

Combinatorics 2020-09-09 v3 Dynamical Systems Group Theory Geometric Topology Number Theory

Abstract

We show that every infinitely edge-connected graph contains the Farey graph or T0 ⁣tT_{\aleph_0}\!\ast t as a minor. These two graphs are unique with this property up to minor-equivalence.

Keywords

Cite

@article{arxiv.2004.06710,
  title  = {Every infinitely edge-connected graph contains the Farey graph or $T_{\aleph_0}\!\ast t$ as a minor},
  author = {Jan Kurkofka},
  journal= {arXiv preprint arXiv:2004.06710},
  year   = {2020}
}

Comments

18 pages, 1 figure