A hidden Condorcet domain in Loday's realisation of the associahedron
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915117665353728 |
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| author | Slinko, Arkadii |
| author_facet | Slinko, Arkadii |
| contents | We prove that Loday's polytopal realisation of the nth Tamari lattice T_n, called associahedron, has 2^{n-1} common points with the permutohedron, which form a maximal never-middle (symmetric) Condorcet domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_13374 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A hidden Condorcet domain in Loday's realisation of the associahedron Slinko, Arkadii Combinatorics 05B99 We prove that Loday's polytopal realisation of the nth Tamari lattice T_n, called associahedron, has 2^{n-1} common points with the permutohedron, which form a maximal never-middle (symmetric) Condorcet domain. |
| title | A hidden Condorcet domain in Loday's realisation of the associahedron |
| topic | Combinatorics 05B99 |
| url | https://arxiv.org/abs/2501.13374 |