Geodesic
Counting Faces of Nestohedra
Séminaire lotharingien de combinatoire, 78B (2017) 
Vladimir Grujić; Tanja Stojadinović. Counting Faces of Nestohedra. Séminaire lotharingien de combinatoire, 78B (2017). http://geodesic.mathdoc.fr/item/SLC_2017_78B_a16/
@article{SLC_2017_78B_a16,
     author = {Vladimir Gruji\'c and Tanja Stojadinovi\'c},
     title = {Counting {Faces} of {Nestohedra}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {2017},
     volume = {78B},
     url = {http://geodesic.mathdoc.fr/item/SLC_2017_78B_a16/}
}
TY  - JOUR
AU  - Vladimir Grujić
AU  - Tanja Stojadinović
TI  - Counting Faces of Nestohedra
JO  - Séminaire lotharingien de combinatoire
PY  - 2017
VL  - 78B
UR  - http://geodesic.mathdoc.fr/item/SLC_2017_78B_a16/
ID  - SLC_2017_78B_a16
ER  - 
%0 Journal Article
%A Vladimir Grujić
%A Tanja Stojadinović
%T Counting Faces of Nestohedra
%J Séminaire lotharingien de combinatoire
%D 2017
%V 78B
%U http://geodesic.mathdoc.fr/item/SLC_2017_78B_a16/
%F SLC_2017_78B_a16

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

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).