Fat minors cannot be thinned (by quasi-isometries)

Analysis and Geometry in Metric Spaces 2026 Open access

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Authors: James Davies, Robert Hickingbotham, Freddie Illingworth, Rose McCarty
DOI: 10.1515/agms-2025-0036
Cited by: 0
References: 16

Abstract

Abstract We disprove the conjecture of Georgakopoulos and Papasoglu that a graph with no K -fat H minor is quasi-isometric to a graph with no H minor. On the other hand, we show that the following weakening holds: any graph with no K -fat H minor is quasi-isometric to a graph with no 3-fat H minor.

Fields of Study & Subjects

Body Contouring and Surgery

Publication details

Journal / source
Analysis and Geometry in Metric Spaces
Publisher
Walter de Gruyter GmbH
Volume
14
Issue
1
Publication date
1 January 2026
Language
EN