generalized permutohedron
Recently Published Documents


TOTAL DOCUMENTS

2
(FIVE YEARS 1)

H-INDEX

0
(FIVE YEARS 0)

Author(s):  
Marko Pesovic ◽  
Tanja Stojadinovic

To an extended generalized 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.


2013 ◽  
Vol DMTCS Proceedings vol. AS,... (Proceedings) ◽  
Author(s):  
Dorian Croitoru ◽  
Suho Oh ◽  
Alexander Postnikov

International audience We show that given a poset $P$ and and a subposet $Q$, the integer points obtained by restricting linear extensions of $P$ to $Q$ can be explained via integer lattice points of a generalized permutohedron. Nous montrons que, étant donné un poset $P$ et un subposet $Q$, les points entiers obtenus en restreignant les extensions linéaires de $P$ à $Q$peuvent être expliqués par les points entiers d’un permutohedron généralisé.


Sign in / Sign up

Export Citation Format

Share Document