Geometric view of interval poset permutations
| Autor: | Bagno, Eli, Eisenberg, Estrella, Reches, Shulamit, Sigron, Moriha |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In a recent study by Tenner, the concept of the interval poset of a permutation is introduced to effectively represent all intervals and their inclusions within a permutation. This research presents a new geometric viewpoint on these interval posets. We establish a one-to-one correspondence between the set of interval posets for permutations of size $n$ and a specific subset of dissections of a convex polygon with $n+1$ sides. Through this correspondence, we investigate various intriguing subsets of interval posets and uncover their connections to particular polygon dissections. Comment: arXiv admin note: substantial text overlap with arXiv:2406.16392 |
| Databáze: | arXiv |
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