Well-covered and Cohen–Macaulay theta-ring graphs

IF 0.3 4区数学 Q4 MATHEMATICS

Journal of Commutative Algebra Pub Date : 2021-12-01 DOI:10.1216/jca.2021.13.461

Iván D. Castrillón, E. Reyes

引用次数: 0

Abstract

In this paper we characterize the wellcovered property for: theta-ring and ring graphs. Furthermore, we prove that Cohen-Macaulayness, pure shellability and pure vertex decomposability are equivalent for theta-ring graphs. Also, we give a combinatorial characterization of these graphs.

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完备覆盖图和Cohen-Macaulay环图

本文刻画了环图和环图的完备性。进一步证明了环图的Cohen-Macaulayness、纯贝壳性和纯顶点可分解性是等价的。同时，我们给出了这些图的组合表征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Commutative Algebra MATHEMATICS-

CiteScore

0.80

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Commutative Algebra publishes significant results in the area of commutative algebra and closely related fields including algebraic number theory, algebraic geometry, representation theory, semigroups and monoids. The journal also publishes substantial expository/survey papers as well as conference proceedings. Any person interested in editing such a proceeding should contact one of the managing editors.