Regularity of powers of (parity) binomial edge ideals

被引：2

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：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2023年 / 57卷 / 01期

关键词：

Regularity; Binomial edge ideal; Parity binomial edge ideal; d-sequences; Almost complete intersection; COHEN-MACAULAY; ORTHOGONAL REPRESENTATIONS; ASYMPTOTIC-BEHAVIOR; SEQUENCES;

D O I：

10.1007/s10801-022-01163-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we provide exact formulas for the regularity of powers of an almost complete intersection ideal I which is generated by a homogeneous d-sequence. As applications, when I is an almost complete intersection, taking the form of a (parity) binomial edge ideal of a connected graph, we can describe explicitly reg(I-t) for t >= 2. The only exception is when I is the parity binomial edge ideal of a graph which is obtained by adding an edge between two disjoint odd cycles.

引用

页码：75 / 100

页数：26

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