A Bijection between Stacked Directed Polyominoes and Motzkin Paths with Alternative Catastrophes
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910267600797696 |
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| author | Schager, Florian Wallner, Michael |
| author_facet | Schager, Florian Wallner, Michael |
| contents | We present a novel bijection between stacked directed polyominoes and Motzkin paths with catastrophes. Further, we leverage this new bridge between these two worlds to obtain a better understanding of certain parameters of stacked directed animals. In particular, we obtain improved lower and upper bounds on the asymptotic width of stacked directed animals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16417 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Bijection between Stacked Directed Polyominoes and Motzkin Paths with Alternative Catastrophes Schager, Florian Wallner, Michael Combinatorics Discrete Mathematics G.2.1 We present a novel bijection between stacked directed polyominoes and Motzkin paths with catastrophes. Further, we leverage this new bridge between these two worlds to obtain a better understanding of certain parameters of stacked directed animals. In particular, we obtain improved lower and upper bounds on the asymptotic width of stacked directed animals. |
| title | A Bijection between Stacked Directed Polyominoes and Motzkin Paths with Alternative Catastrophes |
| topic | Combinatorics Discrete Mathematics G.2.1 |
| url | https://arxiv.org/abs/2406.16417 |