Integer points enumerator of hypergraphic polytopes
Combinatorics
2018-12-27 v1
Abstract
For a hypergraphic polytope there is a weighted quasisymmetric function which enumerates positive integer points in its normal fan and determines its f-polynomial. This quasisymmetric function invariant of hypergraphs extends the Stanley chromatic symmetric function of simple graphs. We consider a certain combinatorial Hopf algebra of hypergraphs and show that universal morphism to quasisymmetric functions coincides with this enumerator function.
Cite
@article{arxiv.1812.09770,
title = {Integer points enumerator of hypergraphic polytopes},
author = {Marko Pesovic},
journal= {arXiv preprint arXiv:1812.09770},
year = {2018}
}