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Sweeping the cd-Index and the Toric h-Vector
the cd-Index the Toric h-Vector
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2010/11/15
We derive formulas for the cd-index and the toric h-vector of a convex polytope P from a sweeping by a hyperplane. These arise from interpreting the corresponding S-shelling of the dual of P. We desc...
Signs in the cd-index of Eulerian partially ordered sets
the cd-index Eulerian partially ordered sets
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2010/10/29
A graded partially ordered set is Eulerian if every interval has the same number of elements of even rank and of odd rank. Face lattices of convex polytopes are Eulerian. For Eulerian partially order...