蒙古帐图边理想的一些同调不变量

IF 0.3 4区数学 Q4 MATHEMATICS

Algebra Colloquium Pub Date : 2025-05-13 DOI:10.1142/s1005386725000252

Richa Vats, Pavinder Singh, Sonica Anand

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引用次数: 0

摘要

利用一类自由顶点可分解图的独立复合体[公式：见文]的组合数据，计算其边理想线性链上的梯度Betti数。此外，我们还根据给定图的组合不变量显式地计算了其他重要的同调不变量，如Castelnuovo-Mumford正则性和边理想的投影维数。

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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On Some Homological Invariants of Edge Ideals of Mongolian Tent Graphs

We use combinatorial data of the independent complex [Formula: see text] of a class of [Formula: see text]-free vertex decomposable graphs [Formula: see text] and compute the graded Betti numbers in the linear strand of its edge ideal. In addition, we explicitly compute other important homological invariants like the Castelnuovo-Mumford regularity and projective dimension of the edge ideal in terms of combinatorial invariants of the given graph.

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来源期刊

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.