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Algebraic Properties of Edge Ideals and Cover Ideals of Unbalanced Crown Graphs
Bulletin of the Iranian Mathematical Society ( IF 0.7 ) Pub Date : 2021-04-23 , DOI: 10.1007/s41980-021-00560-4
Shahnawaz Ahmad Rather

In this paper, we introduce the unbalanced crown graphs \({\mathcal {C}}_{m,n}\), and compute all graded Betti numbers of edge ideals of these graphs in terms of associated numerical data. As a consequence, we determine the regularity and the projective dimension of edge ideals of these graphs. Also, the Hilbert series of the cover ideals of these graphs is obtained.



中文翻译:

不平衡冠图的边缘理想和覆盖理想的代数性质

在本文中,我们介绍了不平衡冠图\({\ mathcal {C}} _​​ {m,n} \),并根据相关的数值数据计算了这些图的边缘理想的所有分级Betti数。结果,我们确定了这些图的边缘理想的规则性和投影尺寸。同样,获得了这些图的理想的希尔伯特级数。

更新日期:2021-04-23
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