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Weighted quasisymmetric enumerator for generalized permutohedra

  • Vladimir GrujićEmail author
  • Marko Pešović
  • Tanja Stojadinović
Article
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Abstract

We introduce a weighted quasisymmetric enumerator function associated with generalized permutohedra. It refines the Billera, Jia and Reiner quasisymmetric function which also includes the Stanley chromatic symmetric function. Besides that, it carries information of face numbers of generalized permutohedra. We consider more systematically the cases of nestohedra and matroid base polytopes.

Keywords

Generalized permutohedron Quasisymmetric function Combinatorial Hopf algebra f-polynomial 

Mathematics Subject Classification

Primary 05E05 Secondary 52B05 16T05 

Notes

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Faculty of MathematicsUniversity of BelgradeBelgradeSerbia
  2. 2.Faculty of Civil EngineeringUniversity of BelgradeBelgradeSerbia

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