Counting faces of nestohedra
arXiv:1703.08826
Abstract
A new algebraic formula for the numbers of faces of nestohedra is obtained. The enumerator function of positive lattice points in interiors of maximal cones of the normal fan of the nestohedron associated to a building set is described as a morphism from the certain combinatorial Hopf algebra of building sets to quasisymmetric functions. We define the -analog and derive its determining recurrence relations. The -polynomial of the nestohedron appears as the principal specialization of the quasisymmetric function .
Preprint is merged with arXiv:1704.06715 Face enumeration on matroid base polytopes and redirected to combined version