Separation profiles of free products
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911626418978816 |
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| author | Hume, David |
| author_facet | Hume, David |
| contents | We deduce from a theorem of Dvorak--Norin that the separation and treewidth profiles of graphs are asymptotically equivalent, resolving a question of Huang--Hume--Kelly--Lam. As an application, we calculate the separation profiles of Cayley graphs of tree-graded graphs in terms of their pieces. Examples of tree-graded graphs include Cayley graphs of free products of finitely generated groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_24462 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Separation profiles of free products Hume, David Combinatorics 05C40, 20F65 We deduce from a theorem of Dvorak--Norin that the separation and treewidth profiles of graphs are asymptotically equivalent, resolving a question of Huang--Hume--Kelly--Lam. As an application, we calculate the separation profiles of Cayley graphs of tree-graded graphs in terms of their pieces. Examples of tree-graded graphs include Cayley graphs of free products of finitely generated groups. |
| title | Separation profiles of free products |
| topic | Combinatorics 05C40, 20F65 |
| url | https://arxiv.org/abs/2604.24462 |