Induced Minors and Region Intersection Graphs
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908343695572992 |
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| author | Bonnet, Édouard Hickingbotham, Robert |
| author_facet | Bonnet, Édouard Hickingbotham, Robert |
| contents | We show that for any positive integers $g$ and $t$, there is a $K_{6}^{(1)}$-induced-minor-free graph of girth at least $g$ that is not a region intersection graph over the class of $K_t$-minor-free graphs. This answers in a strong form the recently raised question of whether for every graph $H$ there is a graph $H'$ such that $H$-induced-minor-free graphs are region intersection graphs over $H'$-minor-free graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_21115 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Induced Minors and Region Intersection Graphs Bonnet, Édouard Hickingbotham, Robert Combinatorics Discrete Mathematics We show that for any positive integers $g$ and $t$, there is a $K_{6}^{(1)}$-induced-minor-free graph of girth at least $g$ that is not a region intersection graph over the class of $K_t$-minor-free graphs. This answers in a strong form the recently raised question of whether for every graph $H$ there is a graph $H'$ such that $H$-induced-minor-free graphs are region intersection graphs over $H'$-minor-free graphs. |
| title | Induced Minors and Region Intersection Graphs |
| topic | Combinatorics Discrete Mathematics |
| url | https://arxiv.org/abs/2504.21115 |