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Faces and bases: Dehn-Sommerville type relations

Andrey O. Matveev

math.COarXiv:math/0411241

Abstract

We review several linear algebraic aspects of the Dehn-Sommerville relations and relate redundant analogues of the f- and h-vectors describing the subsets of a simplex 21,...,m that satisfy Dehn-Sommerville type relations to integer points contained in some rational polytopes.

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