论文标题
某些图的电晕产品边缘理想的代数特性
Algebraic Properties of Edge Ideals of Corona Product of Certain Graphs
论文作者
论文摘要
我们研究代数不变的深度,史丹利深度,规律性和射影尺寸的边缘理想的残基类环与各种图形图的电晕产品相关的边缘理想。我们还为与任何两个图的电晕产品相关的边缘理想的残基类环的krull尺寸提供了表达式。结果,我们表征了一些Cohen-Macaulay图。
We study the algebraic invariants namely depth, Stanley depth, regularity and projective dimension of the residue class rings of the edge ideals associated with the corona product of various classes of graphs with any graph. We also give an expression for the Krull dimension of the residue class rings of the edge ideals associated with the corona product of any two graphs. As a consequence, we characterize some Cohen-Macaulay graphs.