Genocchi Numbers and f-Vectors of Simplicial Balls

Details Genocchi Numbers and f-Vectors of Simplicial Balls Genocchi Numbers and f-Vectors of Simplicial Balls

2007-02-07

arxiv.org/abs/math/0702172v2

Mathematics

Combinatorics

revised version, to appear in European Journal of Combinatorics; minor changes

Scientific paper

The Genocchi numbers are the coefficients of the generating function
2t/(e^t+1). In this note we will give an equation for simplicial balls which
involves this numbers. It relates the number of faces in the interior of the
ball with the number of faces in the boundary of the ball. This is a variation
of similar equations given in [McMullen 2004] and [Herrmann and Joswig 2006].

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