Tree-independence number VII. Excluding a star
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866917175205298176 |
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| author | Chudnovsky, Maria Czyżewska, Jadwiga Pilipczuk, Marcin Rzążewski, Paweł |
| author_facet | Chudnovsky, Maria Czyżewska, Jadwiga Pilipczuk, Marcin Rzążewski, Paweł |
| contents | We prove that for every fixed integer $s$ and every planar graph $H$, the class of $H$-induced-minor-free and $K_{1,s}$-induced-subgraph-free graphs has polylogarithmic tree-independence number. This is a weakening of a conjecture of Dallard, Krnc, Kwon, Milanič, Munaro, Štorgel, and Wiederrecht. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23887 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tree-independence number VII. Excluding a star Chudnovsky, Maria Czyżewska, Jadwiga Pilipczuk, Marcin Rzążewski, Paweł Combinatorics We prove that for every fixed integer $s$ and every planar graph $H$, the class of $H$-induced-minor-free and $K_{1,s}$-induced-subgraph-free graphs has polylogarithmic tree-independence number. This is a weakening of a conjecture of Dallard, Krnc, Kwon, Milanič, Munaro, Štorgel, and Wiederrecht. |
| title | Tree-independence number VII. Excluding a star |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2512.23887 |