Enumeration of Corona for Lozenge Tilings
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908949978021888 |
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| author | Knecht, Craig Liu, Feihu Xin, Guoce |
| author_facet | Knecht, Craig Liu, Feihu Xin, Guoce |
| contents | Knecht considers the enumeration of coronas. This is a counting problem for two specific types of lozenge tilings. Their exact closed formulas are conjectured in [A380346] and [A380416] on the OEIS. We prove this conjecture by using the weighted adjacency matrix. Furthermore, we extend this result to a more general setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19269 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Enumeration of Corona for Lozenge Tilings Knecht, Craig Liu, Feihu Xin, Guoce Combinatorics 05A15, 05B45 Knecht considers the enumeration of coronas. This is a counting problem for two specific types of lozenge tilings. Their exact closed formulas are conjectured in [A380346] and [A380416] on the OEIS. We prove this conjecture by using the weighted adjacency matrix. Furthermore, we extend this result to a more general setting. |
| title | Enumeration of Corona for Lozenge Tilings |
| topic | Combinatorics 05A15, 05B45 |
| url | https://arxiv.org/abs/2504.19269 |