Toric ideal of series and parallel connection of matroids
Toric ideal of series and parallel connection of matroids
复制标题
拟阵串并联的环面理想
DOI：
10.1142/s0219498816501061
复制
发表时间：
2016
影响因子：
0.8
通讯作者：
K. Shibata
中科院分区：
文献类型：
--
作者：
K. Shibata
在1980年，白色阐明，环面理想相关联的拟阵是由二项式对应的对称交换。在本文中，我们证明了类拟阵的环面理想是由二次生成的，并有二次Gröbner基地，是封闭的串行和并行扩展，串行和并行连接，和2-和。
In 1980, White conjectured that the toric ideal associated to a matroid is generated by binomials corresponding to a symmetric exchange. In this paper, we prove that classes of matroids for which the toric ideal is generated by quadrics and that has quadratic Gröbner bases, are closed under series and parallel extensions, series and parallel connections, and 2-sums.