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The face vector of a half-open hypersimplex

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arxiv 1309.5155 v2 pith:QWQ4YRLM submitted 2013-09-20 math.CO

Takayuki Hibi , Nan Li , Hidefumi Ohsugi This is my paper
classification math.CO
keywords half-openhypersimplexvectorcdotsconsistsdeltaexplicitlyface
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abstract

The half-open hypersimplex $\Delta'_{n,k}$ consists of those $x = (x_{1}, \ldots, x_{n}) \in[0,1]^n$ with $k-1<x_1+\cdots+x_n\le k$, where $0 < k \leq n$. The $f$-vector of a half-open hypersimplex and related generating functions are explicitly studied.

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