Séminaire Lotharingien de Combinatoire, 78B.17 (2017), 7 pp.
Vladimir Grujić and
Counting Faces of Nestohedra
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
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
derive its determining recurrence relations. The f-polynomial of the
nestohedron PB appears as the principal specialization of the
Received: November 14, 2016.
Accepted: February 17, 2017.
Final version: April 1, 2017.
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