Every infinitely edge-connected graph contains the Farey graph or $T_{{\aleph }_0}\ast t$ as a minor

Abstract

We show that every infinitely edge-connected graph contains the Farey graph or $T_{{\aleph }_0}\ast t$ as a minor. These two graphs are unique with this property up to minor-equivalence.

arXiv comment18 pages, 1 figure

Cited by in corpus (1)

• Edge-connectivity and tree-structure in finite and infinite graphs