Every infinitely edge-connected graph contains the Farey graph or $${T_{\aleph _0}*t}$$ as a minor-Reference-Cited by-同舟云学术

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

Published:2021-09-24 Issue: Volume: Page:
ISSN:0025-5831
Container-title:Mathematische Annalen
language:en
Short-container-title:Math. Ann.

Author:

Kurkofka Jan^ORCID

Abstract

AbstractWe show that every infinitely edge-connected graph contains the Farey graph or

$$T_{\aleph _0}*t$$

T ℵ 0 ∗ t as a minor. These two graphs are unique with this property up to minor-equivalence.

Funder

Universität Hamburg

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00208-021-02259-7.pdf

Reference16 articles.

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2. Clay, M., Margalit, D.: Office Hours with a Geometric Group Theorist. Princeton University Press, Princeton (2017). https://doi.org/10.23943/princeton/9780691158662.001.0001

3. Diestel, R.: Graph Theory, 5th edn. Springer, New York (2016). https://doi.org/10.1007/978-3-662-53622-3

4. Diestel, R.: Abstract separation systems. Order 35(1), 157–170 (2018). https://doi.org/10.1007/s11083-017-9424-5. https://arxiv.org/abs/1406.3797v6

5. Diestel, R.: Tree sets. Order 35(1), 171–192 (2018). https://doi.org/10.1007/s11083-017-9425-4. https://arxiv.org/abs/1512.03781v3

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1. The immersion-minimal infinitely edge-connected graph;Journal of Combinatorial Theory, Series B;2024-01

2. Duality theorems for stars and combs I: Arbitrary stars and combs;Journal of Graph Theory;2021-06-21

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