Dominating Ideals and Closed Neighborhood Ideals of Graphs
Dominating Ideals and Closed Neighborhood Ideals of Graphs
复制标题
图的支配理想和闭邻域理想
DOI：
10.1007/s00009-022-02107-1
复制
发表时间：
2021
影响因子：
1.1
通讯作者：
Asli Musapaşaoğlu
中科院分区：
文献类型：
--
作者：
M. Nasernejad;A. Qureshi;Somayeh Bandari;Asli Musapaşaoğlu
我们研究了图的闭邻理想和支配理想，特别是树和环的一类。证明了一类树的闭邻理想和支配理想通常是无扭的。闭合邻域理想和环的支配理想通常不是无扭转的。然而，我们证明了环的闭邻理想具有（强）持久性，并且环的主导理想几乎通常是无扭转的。
We study the closed neighborhood ideals and the dominating ideals of graphs, in particular, some classes of trees and cycles. We prove that the closed neighborhood ideals and the dominating ideals of some classes of trees are normally torsion free. The closed neighborhood ideals and the dominating ideals of cycles fail to be normally torsion free. However, we prove that the closed neighborhood ideals of cycles admit the (strong) persistance property and the dominating ideals of cycles are nearly normally torsion free.