Regularity of powers of cover ideals of bipartite graphs

被引：0

作者：

Hang, Nguyen Thu ^{[1
,2
]}

Hien, Truong Thi ^{[3
]}

机构：

[1] Thai Nguyen Univ Sci, Tan Thinh Ward, Thai Nguyen City, Thai Nguyen, Vietnam

[2] Int Ctr Res & Postgrad Training Math, 18B Hoang Quoc Viet St, Hanoi, Vietnam

[3] Hong Duc Univ, Dong Ve Ward, 565 Quang Trung St, Thanh Hoa, Vietnam

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2023年 / 33卷 / 02期

关键词：

Graph; cover ideal; power of ideal; regularity; ASYMPTOTIC-BEHAVIOR; DEPTH;

D O I：

10.1142/S0218196723500169

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G = (V,E) be a bipartite graph over the vertex set V = {1, .....,r} and let J = J(G) be the cover ideal of G in the polynomial ring R = K[x(1),.... ,x(r]). It is known that there are integers b and t0 such that regJ(t) = d(J)t + b is a linear function in t for all t >= t(0). In this paper, we give effective bounds for b and t(0).

引用

页码：317 / 335

页数：19

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