Powers of generalized binomial edge ideals of path graphs

被引：0
|
作者：
Shen, Yi-Huang [1 ]
Zhu, Guangjun [2 ]
机构：
[1] Univ Sci & Technol China, Sch Math Sci, CAS Wu Wen Tsun Key Lab Math, Hefei 230026, Anhui, Peoples R China
[2] Soochow Univ, Sch Math Sci, Suzhou 215006, Jiangsu, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2024年 / 34卷 / 05期
关键词：
Regularity; depth; generalized binomial edge ideal; path graph; Rees algebra; special fiber ring; ASYMPTOTIC-BEHAVIOR; GROBNER BASES; REGULARITY;
D O I：
10.1142/S0218196724500292
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the powers of the generalized binomial edge ideal J(Km), P-n of a path graph P-n. We explicitly compute their regularities and determine the limit of their depths. We also show that these ordinary powers coincide with their symbolic powers. Additionally, we study the Rees algebra and the special fiber ring of J(Km), P-n utilizing Sagbi basis theory. In particular, we obtain precise formulas for the regularity of these blowup algebras.
引用
收藏
页码：779 / 806
页数：28
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