Excluding sums of Kuratowski graphs
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866913345035042816 |
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| author | Robertson, Neil Seymour, Paul |
| author_facet | Robertson, Neil Seymour, Paul |
| contents | We prove that a graph does not contain as a minor a graph formed by 0-, 1-, 2- or 3-summing $k$ copies of $K_5$ or $K_{3,3}$, if and only if it has bounded genus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05384 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Excluding sums of Kuratowski graphs Robertson, Neil Seymour, Paul Combinatorics 05C10, 05C62, 05C83 We prove that a graph does not contain as a minor a graph formed by 0-, 1-, 2- or 3-summing $k$ copies of $K_5$ or $K_{3,3}$, if and only if it has bounded genus. |
| title | Excluding sums of Kuratowski graphs |
| topic | Combinatorics 05C10, 05C62, 05C83 |
| url | https://arxiv.org/abs/2405.05384 |