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.
We calculate the f −polynomial of uniform hypergraphic polytopes.
TY - JOUR
AU - Pešović, Marko
PY - 2021
UR - https://grafar.grf.bg.ac.rs/handle/123456789/2333
AB - 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.
We calculate the f −polynomial of uniform hypergraphic polytopes.
PB - Publications de l'Institut Mathematique
T1 - Integer points enumerator of hypergraphic polytopes
DO - https://doi.org/10.2298/PIM200205001P
ER -
@article{
author = "Pešović, Marko",
year = "2021",
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.
We calculate the f −polynomial of uniform hypergraphic polytopes.",
publisher = "Publications de l'Institut Mathematique",
title = "Integer points enumerator of hypergraphic polytopes",
doi = "https://doi.org/10.2298/PIM200205001P"
}
Pešović, M.. (2021). Integer points enumerator of hypergraphic polytopes.
Publications de l'Institut Mathematique..
https://doi.org/https://doi.org/10.2298/PIM200205001P
Pešović M. Integer points enumerator of hypergraphic polytopes. 2021;.
doi:https://doi.org/10.2298/PIM200205001P .
