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arXiv.org e-Print Archive
Preprint . 2024
Data sources: arXiv.org e-Print Archive
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Powers of edge ideals of edge-weighted trees

descriptionPublicationkeyboard_double_arrow_right Preprint 06 Mar 2024
Authors: Li, Jiaxin; Zhu, Guangjun; Duan, Shiya;

arXiv: 2403.03609

Powers of edge ideals of edge-weighted trees

Abstract

This paper gives exact formulas for the regularity of edge ideals of edge-weighted integrally closed trees. In addition, we provide some linear upper bounds on the regularity of powers of such ideals.

Keywords

Primary 13A15, 13D02, 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!
0
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