2018/12/23 by Pesovic, Marko
#Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.1812.09770
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.