### Abstract

We give a combinatorial formula for the Betti numbers which appear in a minimal free resolution of the Stanley-Reisner ring k[Δ(P)] = A/I_{Δ(P)}, of the boundary complex Δ(P) of an odd-dimensional cyclic polytope P over a field k. A corollary to the formula is that the Betti number sequence of k[Δ(P)] is unimodal and does not depend on the base field k.

Original language | English |
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Pages (from-to) | 287-295 |

Number of pages | 9 |

Journal | Discrete and Computational Geometry |

Volume | 15 |

Issue number | 3 |

DOIs | |

Publication status | Published - Apr 1996 |

Externally published | Yes |

### ASJC Scopus subject areas

- Theoretical Computer Science
- Geometry and Topology
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics

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## Cite this

Terai, N., & Hibi, T. (1996). Computation of Betti numbers of monomial ideals associated with cyclic polytopes.

*Discrete and Computational Geometry*,*15*(3), 287-295. https://doi.org/10.1007/BF02711496