Between graphical zonotope and graph-associahedron

التفاصيل البيبلوغرافية
العنوان: Between graphical zonotope and graph-associahedron
المؤلفون: Pešović, Marko, Stojadinović, Tanja
سنة النشر: 2022
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Combinatorics, 05C22, 16T05, 52B11
الوصف: This manuscript introduces a finite collection of generalized permutohedra associated to a simple graph. The first polytope of this collection is the graphical zonotope of the graph and the last is the graph-associahedron associated to it. We describe the weighted integer points enumerators for polytopes in this collection as Hopf algebra morphisms of combinatorial Hopf algebras of decorated graphs.
Comment: 16 pages, 5 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2209.12053
رقم الأكسشن: edsarx.2209.12053
قاعدة البيانات: arXiv