Journal article
Graph minors and metric spaces
- Abstract:
- We present problems and results that combine graph-minors and coarse geometry. For example, we ask whether every geodesic metric space (or graph) without a fat H minor is quasi-isometric to a graph with no H minor, for an arbitrary finite graph H. We answer this affirmatively for a few small H. We also present a metric analogue of Menger’s theorem and König’s ray theorem. We conjecture metric analogues of the Erdös–Pósa Theorem and Halin’s grid theorem.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Version of record, pdf, 564.2KB, Terms of use)
-
- Publisher copy:
- 10.1007/s00493-025-00150-6
Authors
- Publisher:
- Springer
- Journal:
- Combinatorica More from this journal
- Volume:
- 45
- Issue:
- 3
- Article number:
- 33
- Publication date:
- 2025-06-13
- Acceptance date:
- 2025-02-27
- DOI:
- EISSN:
-
1439-6912
- ISSN:
-
0209-9683
- Language:
-
English
- Keywords:
- Pubs id:
-
2092547
- Local pid:
-
pubs:2092547
- Deposit date:
-
2025-02-27
- ARK identifier:
Terms of use
- Copyright holder:
- Georgakopoulos and Papasoglu
- Copyright date:
- 2025
- Rights statement:
- © The Author(s) 2025. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
- Licence:
- CC Attribution (CC BY)
If you are the owner of this record, you can report an update to it here: Report update to this record