Generalized binomial edge ideals of bipartite graphs

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2024-09-02 DOI:10.1016/j.jalgebra.2024.08.026

Yi-Huang Shen , Guangjun Zhu

引用次数: 0

Abstract

Connected bipartite graphs whose binomial edge ideals are Cohen–Macaulay have been classified by Bolognini et al. In this paper, we compute the depth, Castelnuovo–Mumford regularity, and dimension of the generalized binomial edge ideals of these graphs.

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二叉图的广义二项式边理想

Bolognini 等人对二叉边理想为 Cohen-Macaulay 的连通二叉图进行了分类。本文计算了这些图的深度、Castelnuovo-Mumford 正则性和广义二叉边理想的维数。

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 Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.