On the relative size of toric bases
Combinatorics
2021-01-26 v2 Commutative Algebra
Abstract
We consider the Graver basis, the universal Groebner basis, a Markov basis and the set of the circuits of a toric ideal. Let be any two of these bases such that , we prove that there is no polynomial on the size or on the maximal degree of the elements of which bounds the size or the maximal degree of the elements of correspondingly.
Keywords
Cite
@article{arxiv.1909.05144,
title = {On the relative size of toric bases},
author = {Christos Tatakis and Apostolos Thoma},
journal= {arXiv preprint arXiv:1909.05144},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:1306.3305