English

The Farey graph is uniquely determined by its connectivity

Combinatorics 2021-06-23 v2 Algebraic Geometry Dynamical Systems Group Theory Number Theory

Abstract

We show that, up to minor-equivalence, the Farey graph is the unique minor-minimal graph that is infinitely edge-connected but such that every two vertices can be finitely separated.

Keywords

Cite

@article{arxiv.2006.12472,
  title  = {The Farey graph is uniquely determined by its connectivity},
  author = {Jan Kurkofka},
  journal= {arXiv preprint arXiv:2006.12472},
  year   = {2021}
}

Comments

9 pages, 1 figure. arXiv admin note: text overlap with arXiv:2004.06710

R2 v1 2026-06-23T16:31:51.322Z