Depth and Stanley Depth of the Edge Ideals of r-Fold Bristled Graphs of Some Graphs-Reference-Cited by-同舟云学术

Depth and Stanley Depth of the Edge Ideals of r-Fold Bristled Graphs of Some Graphs

Published:2023-11-14 Issue:22 Volume:11 Page:4646
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Wang Ying¹²,Sharif Sidra³,Ishaq Muhammad³,Tchier Fairouz⁴^ORCID,Tawfiq Ferdous M.⁴^ORCID,Aslam Adnan⁵^ORCID

Affiliation:

1. Software Engineering Institute of Guangzhou, Guangzhou 510980, China

2. Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China

3. School of Natural Sciences, National University of Sciences and Technology Islamabad, Sector H-12, Islamabad 24090, Pakistan

4. Mathematics Department, College of Science, King Saud University, Riyadh 11495, Saudi Arabia

5. Department of Natural Sciences and Humanities, University of Engineering and Technology, Lahore 54000, Pakistan

Abstract

In this paper, we find values of depth, Stanley depth, and projective dimension of the quotient rings of the edge ideals associated with r-fold bristled graphs of ladder graphs, circular ladder graphs, some king’s graphs, and circular king’s graphs.

Funder

King Saud University, Riyadh, Saudi Arabia

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/22/4646/pdf

Reference23 articles.

1. Linear Diophantine equations and local cohomology;Stanley;Invent. Math.,1982

2. A non-partitionable Cohen-Macaulay simplicial complex;Duval;Adv. Math.,2016

3. How to compute the Stanley depth of a monomial ideal;Herzog;J. Algebra,2009

4. Herzog, J. (2013). Monomial Ideals, Computations and Applications, Springer.

5. An inequality between depth and Stanley depth;Popescu;Bull. MathéMatique SociéTé Des Sci. MathéMatiques Roum.,2009