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On the relative size of toric bases
Journal of Algebra and Its Applications ( IF 0.5 ) Pub Date : 2021-01-25 , DOI: 10.1142/s0219498822500797
Christos Tatakis 1 , Apostolos Thoma 1
Affiliation  

We consider the Graver basis, the universal Gröbner basis, a Markov basis and the set of the circuits of a toric ideal. Let A,B be any two of these bases such that AB in general, we prove that there is no polynomial on the size or on the maximal degree of the elements of A which bounds the size or the maximal degree of the elements of B correspondingly.

中文翻译:

关于复曲面碱基的相对大小

我们考虑 Graver 基、通用 Gröbner 基、马尔可夫基和复曲面理想的回路集。让一种,是这些基中的任意两个,使得一种一般来说,我们证明在元素的大小或最大次数上不存在多项式一种它限制了元素的大小或最大程度相应地。
更新日期:2021-01-25
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