AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (341.8 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Some algebraic invariants of the edge ideals of perfect [ h , d ]-ary trees and some unicyclic graphs

Tazeen Ayesha, Muhammad Ishaq( )
Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, H-12, Islamabad, Pakistan
Show Author Information

Abstract

This article is mainly concerned with computations of some algebraic invariants of quotient rings of edge ideals of perfect [ h , d ]-ary trees and unicyclic graphs. We compute exact values of depth and Stanley depth and consequently projective dimension for above mentioned quotient rings, except for the one special case of unicyclic graph for which best possible bounds of Stanley depth are given.

Keywords

depthedge idealStanley depthprojective dimensionperfect [h, d]-ary treeunicyclic graph
CLC number: 05C38, 05E99, 13C15, 13F20

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 8 Issue 5,
May 2023
Pages 10947-10977
DOI: 10.3934/math.2023555

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Ayesha T, Ishaq M. Some algebraic invariants of the edge ideals of perfect [ h , d ]-ary trees and some unicyclic graphs. AIMS Mathematics, 2023, 8(5): 10947-10977. https://doi.org/10.3934/math.2023555

138

Views

1

Downloads

1

Crossref

1

Web of Science

1

Scopus
Received: 05 October 2022
Revised: 13 February 2023
Accepted: 20 February 2023
Published: 15 May 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)