图的支配理想与闭邻域理想
交换代数
2022-06-17 v4 组合数学
摘要
我们研究图的闭邻域理想与支配理想，特别是树与圈的闭邻域理想与支配理想。我们证明树的闭邻域理想与支配理想是正规无挠的。圈的闭邻域理想与支配理想不是正规无挠的。然而，我们证明圈的闭邻域理想具有（强）持久性，且圈的支配理想是近正规无挠的。
引用
@article{arxiv.2107.06228,
title = {Dominating ideals and closed neighborhood ideals of graphs},
author = {Mehrdad Nasernejad and Ayesha Asloob Qureshi and Somayeh Bandari and Asli Musapasaouglu},
journal= {arXiv preprint arXiv:2107.06228},
year = {2022}
}
备注
Accepted in the Mediterranean Journal of Mathematics Lemma 2.5, Corollary 2.6, Corollary 2.8, Lemma 2.18, Corollary 2.19, and Corollary 2.20. arXiv admin note: text overlap with arXiv:2106.10219