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https://research.matf.bg.ac.rs/handle/123456789/1374| Title: | Between graphical zonotope and graph-associahedron | Authors: | Pešović, Marko Stojadinović, Tanja |
Keywords: | combinatorial Hopf algebra;decorated graph;f−polynomial;Generalized permutohedron;graph;quasisymmetric function | Issue Date: | 1-Jan-2023 | Rank: | M22 | Publisher: | Ankara : Scientific and Technological Research Council of Turkey (TUBITAK), Turkish Academic Network and Information Center (ULAKBIM) | Journal: | Turkish Journal of Mathematics | Abstract: | 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. In the last section, we study some properties related to H–polytopes. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/1374 | ISSN: | 13000098 | DOI: | 10.55730/1300-0098.3434 | Rights: | Attribution 3.0 United States |
| Appears in Collections: | Research outputs |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Between graphical zonotope and graph-associahedron.pdf | 320.71 kB | Adobe PDF | View/Open |
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