The face vector of a half-open hypersimplex

Takayuki Hibi; Nan Li; Hidefumi Ohsugi

The face vector of a half-open hypersimplex

Combinatorics 2016-02-02 v2

Authors: Takayuki Hibi , Nan Li , Hidefumi Ohsugi

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.

Cite

@article{arxiv.1309.5155,
  title  = {The face vector of a half-open hypersimplex},
  author = {Takayuki Hibi and Nan Li and Hidefumi Ohsugi},
  journal= {arXiv preprint arXiv:1309.5155},
  year   = {2016}
}

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9 pages

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