Depth and Stanley Depth of the Edge Ideals of <i>r</i>-Fold Bristled Graphs of Some Graphs
In this paper, we find values of depth, Stanley depth, and projective dimension of the quotient rings of the edge ideals associated with <i>r</i>-fold bristled graphs of ladder graphs, circular ladder graphs, some king’s graphs, and circular king’s graphs.
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-11-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/22/4646 |
| _version_ | 1797458492282372096 |
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| author | Ying Wang Sidra Sharif Muhammad Ishaq Fairouz Tchier Ferdous M. Tawfiq Adnan Aslam |
| author_facet | Ying Wang Sidra Sharif Muhammad Ishaq Fairouz Tchier Ferdous M. Tawfiq Adnan Aslam |
| author_sort | Ying Wang |
| collection | DOAJ |
| description | In this paper, we find values of depth, Stanley depth, and projective dimension of the quotient rings of the edge ideals associated with <i>r</i>-fold bristled graphs of ladder graphs, circular ladder graphs, some king’s graphs, and circular king’s graphs. |
| first_indexed | 2024-03-09T16:37:53Z |
| format | Article |
| id | doaj.art-224a22249f284f6e8472cdfefd34a7be |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T16:37:53Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-224a22249f284f6e8472cdfefd34a7be2023-11-24T14:54:19ZengMDPI AGMathematics2227-73902023-11-011122464610.3390/math11224646Depth and Stanley Depth of the Edge Ideals of <i>r</i>-Fold Bristled Graphs of Some GraphsYing Wang0Sidra Sharif1Muhammad Ishaq2Fairouz Tchier3Ferdous M. Tawfiq4Adnan Aslam5Software Engineering Institute of Guangzhou, Guangzhou 510980, ChinaSchool of Natural Sciences, National University of Sciences and Technology Islamabad, Sector H-12, Islamabad 24090, PakistanSchool of Natural Sciences, National University of Sciences and Technology Islamabad, Sector H-12, Islamabad 24090, PakistanMathematics Department, College of Science, King Saud University, Riyadh 11495, Saudi ArabiaMathematics Department, College of Science, King Saud University, Riyadh 11495, Saudi ArabiaDepartment of Natural Sciences and Humanities, University of Engineering and Technology, Lahore 54000, PakistanIn this paper, we find values of depth, Stanley depth, and projective dimension of the quotient rings of the edge ideals associated with <i>r</i>-fold bristled graphs of ladder graphs, circular ladder graphs, some king’s graphs, and circular king’s graphs.https://www.mdpi.com/2227-7390/11/22/4646depthStanley depthprojective dimensionedge idealr-fold bristled graphladder graph |
| spellingShingle | Ying Wang Sidra Sharif Muhammad Ishaq Fairouz Tchier Ferdous M. Tawfiq Adnan Aslam Depth and Stanley Depth of the Edge Ideals of <i>r</i>-Fold Bristled Graphs of Some Graphs Mathematics depth Stanley depth projective dimension edge ideal r-fold bristled graph ladder graph |
| title | Depth and Stanley Depth of the Edge Ideals of <i>r</i>-Fold Bristled Graphs of Some Graphs |
| title_full | Depth and Stanley Depth of the Edge Ideals of <i>r</i>-Fold Bristled Graphs of Some Graphs |
| title_fullStr | Depth and Stanley Depth of the Edge Ideals of <i>r</i>-Fold Bristled Graphs of Some Graphs |
| title_full_unstemmed | Depth and Stanley Depth of the Edge Ideals of <i>r</i>-Fold Bristled Graphs of Some Graphs |
| title_short | Depth and Stanley Depth of the Edge Ideals of <i>r</i>-Fold Bristled Graphs of Some Graphs |
| title_sort | depth and stanley depth of the edge ideals of i r i fold bristled graphs of some graphs |
| topic | depth Stanley depth projective dimension edge ideal r-fold bristled graph ladder graph |
| url | https://www.mdpi.com/2227-7390/11/22/4646 |
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