The sequentially Cohen–Macaulay property of edge ideals of edge-weighted graphs

IF 0.6 3区数学 Q3 MATHEMATICS

Journal of Algebraic Combinatorics Pub Date : 2024-07-02 DOI:10.1007/s10801-024-01344-9

Ly Thi Kieu Diem, Nguyên Công Minh, Thanh Vu

引用次数: 0

Abstract

Let \(I(G,\textbf{w})\) be the edge ideal of an edge-weighted graph \((G,\textbf{w})\). We prove that \(I(G,\textbf{w})\) is sequentially Cohen–Macaulay for all weight functions \(\textbf{w}\) if and only if G is a Woodroofe graph.

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边缘加权图的边缘理想的顺序科恩-麦考莱特性

让 \(I(G,\textbf{w})\) 成为边加权图 \((G,\textbf{w})\) 的边理想。我们将证明，当且仅当 G 是一个伍德罗夫图时，\(I(G,\textbf{w})\)对于所有权重函数 \(\textbf{w}\)都是顺序科恩-麦考莱（Cohen-Macaulay）。

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 Algebraic Combinatorics 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal of Algebraic Combinatorics provides a single forum for papers on algebraic combinatorics which, at present, are distributed throughout a number of journals. Within the last decade or so, algebraic combinatorics has evolved into a mature, established and identifiable area of mathematics. Research contributions in the field are increasingly seen to have substantial links with other areas of mathematics. The journal publishes papers in which combinatorics and algebra interact in a significant and interesting fashion. This interaction might occur through the study of combinatorial structures using algebraic methods, or the application of combinatorial methods to algebraic problems.