Symbolic powers of edge ideals of graphs

被引：16
|
作者：
Gu, Yan [1 ]
Ha, Huy Tai [2 ]
O'Rourke, Jonathan L. [2 ]
Skelton, Joseph W. [2 ]
机构：
[1] Soochow Univ, Sch Math Sci, Suzhou, Peoples R China
[2] Tulane Univ, Dept Math, 6823 St Charles Ave, New Orleans, LA 70118 USA
来源：
COMMUNICATIONS IN ALGEBRA | 2020年 / 48卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Edge ideal; monomial ideal; regularity; resurgence number; symbolic power; Waldschmidt constant; REGULARITY; RESURGENCES; SUMS;
D O I：
10.1080/00927872.2020.1745221
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a graph and let be its edge ideal. When G is unicyclic, we give a decomposition of symbolic powers of I in terms of its ordinary powers. This allows us to explicitly compute the Waldschmidt constant and the resurgence number of I. When G is an odd cycle, we explicitly compute the regularity of for all In doing so, we also give a natural lower bound for the regularity function for for an arbitrary graph G.
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页码：3743 / 3760
页数：18
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