Edge Ideals with Regularity No More than Three

• 作者: Aming Liu Tongsuo Wu
• 来源期刊: 代数集刊（英文版）
• 年，卷（期）: 2020,（4）
• 页码范围: 761-766
• 页数: 6页
• 语种: 英文
• DOI: 10.1142/S1005386720000644

摘要

We prove that if G is a gap-free and chair-free simple graph,then the regularity of the edge ideal of G is no more than 3.If G is a gap-free and P4-free graph,then it is a chair-free graph;furthermore,the complement of G is chordal,and thus the regularity of G is 2.