On the first and second Zagreb indices of some products of signed graphs
AbstractSome of the most comprehensively studied degree-based topological indices are the Zagreb indices. In this article, the pair of Zagreb indices have been determined for five product graphs namely tensor product, Cartesian product, lexicographic product, strong product, symmetric difference of...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2023-05-01
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| Series: | AKCE International Journal of Graphs and Combinatorics |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/09728600.2023.2237092 |
| _version_ | 1797691142826885120 |
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| author | Shivani Rai Biswajit Deb |
| author_facet | Shivani Rai Biswajit Deb |
| author_sort | Shivani Rai |
| collection | DOAJ |
| description | AbstractSome of the most comprehensively studied degree-based topological indices are the Zagreb indices. In this article, the pair of Zagreb indices have been determined for five product graphs namely tensor product, Cartesian product, lexicographic product, strong product, symmetric difference of G1 and G2 in terms of the Zagreb indices of the signed graphs of the factor graphs G1 and G2 and their orders and sizes. |
| first_indexed | 2024-03-12T02:09:07Z |
| format | Article |
| id | doaj.art-56b43fd363e340f79709bafa203bb513 |
| institution | Directory Open Access Journal |
| issn | 0972-8600 2543-3474 |
| language | English |
| last_indexed | 2024-03-12T02:09:07Z |
| publishDate | 2023-05-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | AKCE International Journal of Graphs and Combinatorics |
| spelling | doaj.art-56b43fd363e340f79709bafa203bb5132023-09-06T14:45:48ZengTaylor & Francis GroupAKCE International Journal of Graphs and Combinatorics0972-86002543-34742023-05-0120218519210.1080/09728600.2023.2237092On the first and second Zagreb indices of some products of signed graphsShivani Rai0Biswajit Deb1Department of Mathematics, Sikkim Manipal University, SMIT, Majitar, Sikkim, IndiaDepartment of Mathematics, Sikkim Manipal University, SMIT, Majitar, Sikkim, IndiaAbstractSome of the most comprehensively studied degree-based topological indices are the Zagreb indices. In this article, the pair of Zagreb indices have been determined for five product graphs namely tensor product, Cartesian product, lexicographic product, strong product, symmetric difference of G1 and G2 in terms of the Zagreb indices of the signed graphs of the factor graphs G1 and G2 and their orders and sizes.https://www.tandfonline.com/doi/10.1080/09728600.2023.2237092Signed graphZagreb indextensor productCartesian productlexicographic productstrong product |
| spellingShingle | Shivani Rai Biswajit Deb On the first and second Zagreb indices of some products of signed graphs AKCE International Journal of Graphs and Combinatorics Signed graph Zagreb index tensor product Cartesian product lexicographic product strong product |
| title | On the first and second Zagreb indices of some products of signed graphs |
| title_full | On the first and second Zagreb indices of some products of signed graphs |
| title_fullStr | On the first and second Zagreb indices of some products of signed graphs |
| title_full_unstemmed | On the first and second Zagreb indices of some products of signed graphs |
| title_short | On the first and second Zagreb indices of some products of signed graphs |
| title_sort | on the first and second zagreb indices of some products of signed graphs |
| topic | Signed graph Zagreb index tensor product Cartesian product lexicographic product strong product |
| url | https://www.tandfonline.com/doi/10.1080/09728600.2023.2237092 |
| work_keys_str_mv | AT shivanirai onthefirstandsecondzagrebindicesofsomeproductsofsignedgraphs AT biswajitdeb onthefirstandsecondzagrebindicesofsomeproductsofsignedgraphs |