2019/06/28 by Pešović, Marko, Stojadinović, Tanja, Grujić, Vladimir
#Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.1907.00099
To an extended permutohedron we associate the weighted integer points enumerator, whose principal specialization is the f-polynomial. In the case of poset cones it refines Gessel's P-partitions enumerator. We show that this enumerator is a quasisymmetric function obtained by universal morphism from the Hopf algebra of posets.