Regularity of symbolic powers of edge ideals of Cameron-Walker graphs

被引：10
|
作者：
Seyed Fakhari, S. A. [1 ,2 ]
机构：
[1] Univ Tehran, Coll Sci, Sch Math Stat & Comp Sci, Tehran, Iran
[2] Vietnam Acad Sci & Technol, Inst Math, Hanoi, Vietnam
来源：
COMMUNICATIONS IN ALGEBRA | 2020年 / 48卷 / 12期
关键词：
Cameron-Walker graphs; Castelnuovo-Mumford regularity; edge ideal; symbolic powers; PROJECTIVE DIMENSION; BOUNDS;
D O I：
10.1080/00927872.2020.1783673
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A Cameron-Walker graph is a graph for which the matching number and the induced matching number are the same. Assume that G is a Cameron-Walker graph with edge ideal I(G), and let ind-match (THORN) be the induced matching number of G. It is shown that for every integer s >= 1, we have the equality reg (I(G)((s)) = 2s + ind-match (G) - 1, where I(G)((s)) denotes the s-th symbolic power of I(G).
引用
收藏
页码：5215 / 5223
页数：9
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