Title | **Toric ideals of lattice path matroids and polymatroids** |

Author(s) | Jay Schweig |

Type | Article in Journal |

Abstract | White has conjectured that the toric ideal of a matroid is generated by quadric binomials corresponding to symmetric basis exchanges. We prove a stronger version of this conjecture for lattice path polymatroids by constructing a monomial order under which these sets of quadrics form Gröbner bases. We then introduce a larger class of polymatroids for which an analogous theorem holds. Finally, we obtain the same result for lattice path matroids as a corollary. |

ISSN | 0022-4049 |

URL |
http://www.sciencedirect.com/science/article/pii/S0022404911000648 |

Language | English |

Journal | Journal of Pure and Applied Algebra |

Volume | 215 |

Number | 11 |

Pages | 2660 - 2665 |

Year | 2011 |

Edition | 0 |

Translation |
No |

Refereed |
No |