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

Ying Wang, Sidra Sharif, Muhammad Ishaq (), Fairouz Tchier, Ferdous M. Tawfiq and Adnan Aslam ()
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Ying Wang: Software Engineering Institute of Guangzhou, Guangzhou 510980, China
Sidra Sharif: School of Natural Sciences, National University of Sciences and Technology Islamabad, Sector H-12, Islamabad 24090, Pakistan
Muhammad Ishaq: School of Natural Sciences, National University of Sciences and Technology Islamabad, Sector H-12, Islamabad 24090, Pakistan
Fairouz Tchier: Mathematics Department, College of Science, King Saud University, Riyadh 11495, Saudi Arabia
Ferdous M. Tawfiq: Mathematics Department, College of Science, King Saud University, Riyadh 11495, Saudi Arabia
Adnan Aslam: Department of Natural Sciences and Humanities, University of Engineering and Technology, Lahore 54000, Pakistan

Mathematics, 2023, vol. 11, issue 22, 1-17

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.

Keywords: depth; Stanley depth; projective dimension; edge ideal; r-fold bristled graph; ladder graph; circular ladder graph; king’s graph; circular king’s graph (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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