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Integer points enumerator of hypergraphic polytopes

Marko Pesovic

Abstrak

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.

Penulis (1)

M

Marko Pesovic

Format Sitasi

Pesovic, M. (2021). Integer points enumerator of hypergraphic polytopes. https://doi.org/10.2298/pim200205001p

Akses Cepat

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Informasi Jurnal
Tahun Terbit
2021
Bahasa
en
Sumber Database
CrossRef
DOI
10.2298/pim200205001p
Akses
Terbatas