On the combinatorics of Murai spheres and its applications
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866914324027539456 |
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| author | Limonchenko, Ivan Vavpetič, Aleš |
| author_facet | Limonchenko, Ivan Vavpetič, Aleš |
| contents | We classify the combinatorial types of Murai spheres in dimensions $1$ and $2$, thereby showing that the corresponding convex simple polytopes have Delzant realizations. Then we describe all chordal Murai spheres $\mathrm{Bier}_c(M)$ with $c\in\mathbb N^m$ and $m\leq 2$. Finally, we find all possible values for the Buchstaber and chromatic numbers of arbitrary Murai spheres. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_11352 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the combinatorics of Murai spheres and its applications Limonchenko, Ivan Vavpetič, Aleš Combinatorics 05C38, 05E45, 13F55, 52B20, 57S12 We classify the combinatorial types of Murai spheres in dimensions $1$ and $2$, thereby showing that the corresponding convex simple polytopes have Delzant realizations. Then we describe all chordal Murai spheres $\mathrm{Bier}_c(M)$ with $c\in\mathbb N^m$ and $m\leq 2$. Finally, we find all possible values for the Buchstaber and chromatic numbers of arbitrary Murai spheres. |
| title | On the combinatorics of Murai spheres and its applications |
| topic | Combinatorics 05C38, 05E45, 13F55, 52B20, 57S12 |
| url | https://arxiv.org/abs/2602.11352 |