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

preprint2020arXivOpen access

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.

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

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Every infinitely edge-connected graph contains the Farey graph or Tℵ0 ⁣∗tT_{\aleph_0}\!\ast tTℵ0​​∗t as a minor

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