Algebraic invariants of the edge ideals of whisker graphs of cubic circulant graphs
Let Q be a polynomial ring over a field F and I be an edge ideal associated with the whisker graph of a cubic circulant graph. We discuss the regularity, depth, Stanley depth, and projective dimension of Q/I.
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Heliyon |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S240584402500163X |
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| _version_ | 1832573146454032384 |
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| author | Mujahid Ullah Khan Afridi Ibad Ur Rehman Muhammad Ishaq |
| author_facet | Mujahid Ullah Khan Afridi Ibad Ur Rehman Muhammad Ishaq |
| author_sort | Mujahid Ullah Khan Afridi |
| collection | DOAJ |
| description | Let Q be a polynomial ring over a field F and I be an edge ideal associated with the whisker graph of a cubic circulant graph. We discuss the regularity, depth, Stanley depth, and projective dimension of Q/I. |
| format | Article |
| id | doaj-art-5aedcc8425444b18954c5de06410698d |
| institution | Kabale University |
| issn | 2405-8440 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj-art-5aedcc8425444b18954c5de06410698d2025-02-02T05:28:10ZengElsevierHeliyon2405-84402025-01-01112e41783Algebraic invariants of the edge ideals of whisker graphs of cubic circulant graphsMujahid Ullah Khan Afridi0Ibad Ur Rehman1Muhammad Ishaq2School of Natural Sciences, National University of Sciences and Technology Islamabad, Sector H-12, Islamabad, PakistanSchool of Natural Sciences, National University of Sciences and Technology Islamabad, Sector H-12, Islamabad, PakistanCorresponding author.; School of Natural Sciences, National University of Sciences and Technology Islamabad, Sector H-12, Islamabad, PakistanLet Q be a polynomial ring over a field F and I be an edge ideal associated with the whisker graph of a cubic circulant graph. We discuss the regularity, depth, Stanley depth, and projective dimension of Q/I.http://www.sciencedirect.com/science/article/pii/S240584402500163XMonomial idealRegularityDepthStanley depthProjective dimensionWhisker graph |
| spellingShingle | Mujahid Ullah Khan Afridi Ibad Ur Rehman Muhammad Ishaq Algebraic invariants of the edge ideals of whisker graphs of cubic circulant graphs Heliyon Monomial ideal Regularity Depth Stanley depth Projective dimension Whisker graph |
| title | Algebraic invariants of the edge ideals of whisker graphs of cubic circulant graphs |
| title_full | Algebraic invariants of the edge ideals of whisker graphs of cubic circulant graphs |
| title_fullStr | Algebraic invariants of the edge ideals of whisker graphs of cubic circulant graphs |
| title_full_unstemmed | Algebraic invariants of the edge ideals of whisker graphs of cubic circulant graphs |
| title_short | Algebraic invariants of the edge ideals of whisker graphs of cubic circulant graphs |
| title_sort | algebraic invariants of the edge ideals of whisker graphs of cubic circulant graphs |
| topic | Monomial ideal Regularity Depth Stanley depth Projective dimension Whisker graph |
| url | http://www.sciencedirect.com/science/article/pii/S240584402500163X |
| work_keys_str_mv | AT mujahidullahkhanafridi algebraicinvariantsoftheedgeidealsofwhiskergraphsofcubiccirculantgraphs AT ibadurrehman algebraicinvariantsoftheedgeidealsofwhiskergraphsofcubiccirculantgraphs AT muhammadishaq algebraicinvariantsoftheedgeidealsofwhiskergraphsofcubiccirculantgraphs |