 
Summary: h
vectors, Eulerian polynomials and stable polytopes
of graphs
Christos A. Athanasiadis
Department of Mathematics
University of Crete
71409 Heraklion, Crete, Greece
caa@math.uoc.gr
Submitted: Jul 5, 2004; Accepted: Sep 22, 2004; Published: Oct 7, 2004
Mathematics Subject Classifications: Primary 52B20; Secondary 05C17, 05E99, 13F20.
Abstract
Conditions are given on a lattice polytope P of dimension m or its associated
affine semigroup ring which imply inequalities for the hvector (h
0, h
1, . . . , h
m) of
P of the form h
i h
di for 1 i d/2 and h
d/2 h
