Bounded powers of edge ideals: Pseudo-Gorenstein and Level polytopes

Takayuki Hibi; Seyed Amin Seyed Fakhari

Paper

Bounded powers of edge ideals: Pseudo-Gorenstein and Level polytopes

Abstract

A lattice polytope

of dimension

is called level* if (i)

is normal, (ii)

and (iii) for each

and for each

, there is

together with

for which

, where

. A normal polytope

of dimension

is called pseudo-Gorenstein* [4] if

A pseudo-Gorenstein* polytope

is level* if and only if

is reflexive up to translation. In the present paper, level* polytopes together with pseudo-Gorenstein* polytopes arising from discrete polymatroids of bounded powers of edge ideals are studied.