科恩-麦考莱加权定向弦图和单纯图

Pub Date : 2024-04-10 DOI:10.1007/s00013-024-01990-2

Kamalesh Saha

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引用次数: 0

摘要

Herzog、Hibi 和 Zheng 对弦图的 Cohen-Macaulay 边理想进行了分类。在本文中，我们对（顶点）加权定向弦图和单纯图的 Cohen-Macaulay 边理想进行了分类，这是一类更普遍的单项式理想。特别是，我们证明了这些理想的 Cohen-Macaulay 性质等同于非混合性质，因此与底层域无关。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Cohen-Macaulay weighted oriented chordal and simplicial graphs

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Cohen-Macaulay weighted oriented chordal and simplicial graphs

Herzog, Hibi, and Zheng classified the Cohen-Macaulay edge ideals of chordal graphs. In this paper, we classify Cohen-Macaulay edge ideals of (vertex) weighted oriented chordal and simplicial graphs, a more general class of monomial ideals. In particular, we show that the Cohen-Macaulay property of these ideals is equivalent to the unmixed one and hence, independent of the underlying field.

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