تقرير
Counting faces of nestohedra
| العنوان: | Counting faces of nestohedra |
|---|---|
| المؤلفون: | Grujić, Vladimir, Stojadinović, Tanja |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics, 05E05, 52B05, 16T05 |
| الوصف: | A new algebraic formula for the numbers of faces of nestohedra is obtained. The enumerator function $F(P_B)$ of positive lattice points in interiors of maximal cones of the normal fan of the nestohedron $P_B$ associated to a building set $B$ is described as a morphism from the certain combinatorial Hopf algebra of building sets to quasisymmetric functions. We define the $q$-analog $F_q(P_B)$ and derive its determining recurrence relations. The $f$-polynomial of the nestohedron $P_B$ appears as the principal specialization of the quasisymmetric function $F_q(P_B)$. Comment: Preprint is merged with arXiv:1704.06715 Face enumeration on matroid base polytopes and redirected to combined version |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1703.08826 |
| رقم الأكسشن: | edsarx.1703.08826 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |