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arXiv.org e-Print Archive
Preprint . 2024
Data sources: arXiv.org e-Print Archive
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Edge ideals of some edge-weighted graphs

descriptionPublicationkeyboard_double_arrow_right Preprint 04 Jan 2024
Authors: Zhu, Guangjun; Duan, Shiya; Cui, Yijun; Li, Jiaxin;

arXiv: 2401.02111

Edge ideals of some edge-weighted graphs

Abstract

This paper presents exact formulas for the regularity and depth of powers of edge ideals of an edge-weighted star graph. Additionally, we provide exact formulas for the regularity of powers of the edge ideal of an edge-weighted integrally closed path, as well as lower bounds on the depth of powers of such an edge ideal.

Keywords

Primary 13F20, 13C15, 05C22, Secondary 05E40, Mathematics - Commutative Algebra

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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