{nest,gap}-free图的边理想正则度的研究  

Regularity of edge ideals of {nest,gap}-free graphs

作　　者：杨娟 刘阿明 Yang Juan;Liu Aming(School of Science,Hainan University,Haikou 570228,China)

机构地区：[1]海南大学理学院,海南海口570228

出　　处：《海南大学学报（自然科学版）》2023年第2期115-120,共6页Natural Science Journal of Hainan University

基　　金：国家自然科学基金(12101165);海南省自然科学基金(120MS002)。

摘　　要：gap-free图是指不含gap作为导出子图的图,其中gap是顶点集为{a,b,u,v}和边集为{ab,uv}的图.证明了所有的nest-free且gap-free图的边理想正则度reg I((G))是小于等于3的.定义了n-gap-free图,并刻画了一些n-gap-free图的边理想的正则度.Gap-free graph is a class of graph which is not contain a gap as derived subgraph,in which a gap is the graph with vertex set {a,b,u,v} and edge set {ab,uv}.In the report,if G is {nest,gap}-free graph,reg(I(G)) ≤ 3 is proved.n-gap-free graph is defined,and the regularity of the edge ideals of some n-gap-free graphs is characterized.

关 键 词：gap-free图 图的边理想 Castelnuovo-Mumford正则度 自由预解式 

分 类 号：O157[理学—数学]