Report
Geometric view of interval poset permutations
| العنوان: | Geometric view of interval poset permutations |
|---|---|
| المؤلفون: | Bagno, Eli, Eisenberg, Estrella, Reches, Shulamit, Sigron, Moriha |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics |
| الوصف: | 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 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2411.13193 |
| رقم الانضمام: | edsarx.2411.13193 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |