t-clique ideal and t-independence ideal of a graph

被引：7
|
作者：
Moradi, Somayeh [1 ]
机构：
[1] Ilam Univ, Sch Sci, Dept Math, POB 69315-516, Ilam, Iran
来源：
COMMUNICATIONS IN ALGEBRA | 2018年 / 46卷 / 08期
关键词：
Cohen-Macaulay; linear resolution; shellable; t-clique ideal;
D O I：
10.1080/00927872.2017.1412445
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce and study families of squarefree monomial ideals called clique ideals and independence ideals that can be associated to a finite graph. A family of clique ideals with linear resolutions has been characterized. Moreover, some families of graphs for which the quotient ring of their clique ideal is Cohen-Macaulay are introduced and some homological invariants of the clique ideal of a graph G, which is the complement of a path graph or a cycle graph, are obtained. Also some algebraic properties of the independence ideal of path graphs, cycle graphs and chordal graphs are studied.
引用
收藏
页码：3377 / 3387
页数：11
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