h*-Vectors, Eulerian Polynomials and Stable Polytopes of Graphs

نویسنده

  • Christos A. Athanasiadis
چکیده

Conditions are given on a lattice polytope P of dimension m or its associated affine semigroup ring which imply inequalities for the h∗-vector (h∗0, h∗1, . . . , h∗m) of P of the form hi ≥ hd−i for 1 ≤ i ≤ bd/2c and hbd/2c ≥ hbd/2c+1 ≥ · · · ≥ hd, where hi = 0 for d < i ≤ m. Two applications to order polytopes of posets and stable polytopes of perfect graphs are included.

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 11  شماره 

صفحات  -

تاریخ انتشار 2004