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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.10406 |
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| _version_ | 1866914384973922304 |
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| author | Greaves, Gary Zhu, Haoran |
| author_facet | Greaves, Gary Zhu, Haoran |
| contents | We show that the full-flag Johnson graph has spectral gap equal to that of its Schreier quotient arising from the point-stabiliser equitable partition. Our results confirm two conjectures posed by Huang, Huang, and Cioabă, which imply an Aldous-type spectral-gap phenomenon for full-flag Johnson graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_10406 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Aldous property for full-flag Johnson graphs Greaves, Gary Zhu, Haoran Combinatorics We show that the full-flag Johnson graph has spectral gap equal to that of its Schreier quotient arising from the point-stabiliser equitable partition. Our results confirm two conjectures posed by Huang, Huang, and Cioabă, which imply an Aldous-type spectral-gap phenomenon for full-flag Johnson graphs. |
| title | Aldous property for full-flag Johnson graphs |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2603.10406 |