Binomial edge ideals of generalized block graphs

被引：3

作者：

Kumar, Arvind ^{[1
]}

机构：

[1] Indian Inst Technol Madras, Dept Math, Chennai 600036, Tamil Nadu, India

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2020年 / 30卷 / 08期

关键词：

Binomial edge ideal; Castelnuovo-Mumford regularity; generalized block graph; extremal Betti number; COHEN-MACAULAY; REGULARITY;

D O I：

10.1142/S0218196720500526

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify generalized block graphs whose binomial edge ideals admit a unique extremal Betti number. We prove that the Castelnuovo-Mumford regularity of binomial edge ideals of generalized block graphs is bounded below by m(G) + 1, where m(G) is the number of minimal cut sets of the graph G and obtain an improved upper bound for the regularity in terms of the number of maximal cliques and pendant vertices of G.

引用

页码：1537 / 1554

页数：18

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