Inequalities for the CDIndex
Richard Ehrenborg
Institute for Advanced Study
September 16,
4:15pm
refreshments at 3:45pm
2338
ABSTRACT

We prove an inequality involving the cdindices of a convex polytope
P, a face F of the polytope and the link P/F. As a consequence we
settle a conjecture of Stanley that the cdindex of ddimensional
polytopes is minimized on the ddimensional simplex. Moreover, we show
how this gives quadratic inequalities on the flag fvector of
polytopes. Lastly, we present an upper bound theorem for the cdindex
of polytopes.

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