Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.09031 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914071173922816 |
|---|---|
| author | Nguyen, Tung Scott, Alex Seymour, Paul |
| author_facet | Nguyen, Tung Scott, Alex Seymour, Paul |
| contents | We show that if a graph $G$ admits a quasi-isometry $ϕ$ to a graph $H$ of bounded path-width, then we can assign a non-negative integer length to each edge of $H$, such that the same function $ϕ$ is a quasi-isometry to this weighted version of $H$, with error only an additive constant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_09031 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotic structure. II. Path-width and additive quasi-isometry Nguyen, Tung Scott, Alex Seymour, Paul Combinatorics Metric Geometry 05C12, 51F30 We show that if a graph $G$ admits a quasi-isometry $ϕ$ to a graph $H$ of bounded path-width, then we can assign a non-negative integer length to each edge of $H$, such that the same function $ϕ$ is a quasi-isometry to this weighted version of $H$, with error only an additive constant. |
| title | Asymptotic structure. II. Path-width and additive quasi-isometry |
| topic | Combinatorics Metric Geometry 05C12, 51F30 |
| url | https://arxiv.org/abs/2509.09031 |