2017/03/26 by Vladimir Grujić, Grujić, Vladimir, Tanja Stojadinović +1 · 3 citations
Chemistry · Mathematics · #05E05 #16T05 #52B05 #Advanced Combinatorial Mathematics #Algebra over a field #Algebraic number #Algebraic structures and combinatorial models #Combinatorics #Combinatorics (math.CO) #Computer science #Discrete mathematics #FOS: Mathematics #Function (biology) #Hopf algebra #Lattice (music) #Mathematical analysis #Mathematics #Molecular spectroscopy and chirality #Morphism #Physics #Polynomial #Pure mathematics #Set (abstract data type) #math.CO #msc:05E05 #msc:16T05 #msc:52B05
paper · pdf · doi:10.48550/arxiv.1703.08826
published in arXiv (Cornell University) (Cornell University) · Preprint is merged with arXiv:1704.06715 Face enumeration on matroid base polytopes and redirected to combined version
openalex publication_date 2017/03/26 · arxiv created 2017/10/22 · arxiv updated 2017/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 PB 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 Fq(PB) and derive its determining recurrence relations. The f-polynomial of the nestohedron PB appears as the principal specialization of the quasisymmetric function Fq(PB).