Projective dimension and regularity of the path ideal of the line graph

Zhu Guangjun

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Projective dimension and regularity of the path ideal of the line graph

机译：线图的路径理想的投影维度和规律性

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摘要

By generalizing the notion of the path ideal of a graph, we study some algebraic properties of some path ideals associated to a line graph. We show that the quotient ring of these ideals are always sequentially Cohen-Macaulay and also provide some exact formulas for the projective dimension and the regularity of these ideals. As some consequences, we give some exact formulas for the depth of these ideals.

机译：通过推广图的路理想的概念，我们研究了与线图有关的一些路理想的代数性质。我们证明了这些理想的商环总是序列Cohen-Macaulay，并给出了这些理想的射影维数和正则性的一些精确公式。作为一些推论，我们给出了这些理想深度的精确公式。

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来源
《Journal of algebra and its applications》 |2018年第4期|共15页
作者
Zhu Guangjun;
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作者单位

Soochow Univ Sch Math Sci Suzhou 215006 Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Projective dimension; Castelnuovo-Mumford regularity; path ideal; sequentially Cohen-Macaulay; line graph;

机译：投影维度;Castelnuovo-Mumford规律性;道路理想;顺序Cohen-Macaulay;线图;

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Projective dimension and regularity of the path ideal of the line graph

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