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https://research.matf.bg.ac.rs/handle/123456789/634| Title: | Counting faces of nestohedra | Authors: | Grujić, Vladimir Stojadinović, Tanja |
Affiliations: | Topology Algebra and Mathematical Logic |
Keywords: | Combinatorial Hopf algebra;F-polynomial;Nestohedra | Issue Date: | 1-Jan-2006 | Related Publication(s): | 29th international conference on Formal Power Series and Algebraic Combinatorics - FPSAC 2017 | Abstract: | A new algebraic formula for the numbers of faces of nestohedra is obtained. The enumerator function F(PB) of positive lattice points in interiors of maximal cones of the normal fan of the nestohedron PBassociated 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 Fq(PB) and derive its determining recurrence relations. The f-polynomial of the nestohedron PBappears as the principal specialization of the quasisymmetric function Fq(PB). |
URI: | https://research.matf.bg.ac.rs/handle/123456789/634 |
| Appears in Collections: | Research outputs |
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