Multiplicative-sum Zagreb index of splice, bridge, and bridge-cycle graphs
The multiplicative-sum Zagreb index is a graph invariant defined as the product of the sums of the degrees of pairs of adjacent vertices in a graph. In this paper, we compute the multiplicative-sum Zagreb index of some composite graphs such as splice graphs, bridge graphs, and bridge-cycle graphs i...
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2020-10-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/40503 |
| _version_ | 1797633500235431936 |
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| author | Mahdieh Azari |
| author_facet | Mahdieh Azari |
| author_sort | Mahdieh Azari |
| collection | DOAJ |
| description |
The multiplicative-sum Zagreb index is a graph invariant defined as the product of the sums of the degrees of pairs of adjacent vertices in a graph. In this paper, we compute the multiplicative-sum Zagreb index of some composite graphs such as splice graphs, bridge graphs, and bridge-cycle graphs in terms of the multiplicative-sum Zagreb indices of their components. Then, we apply our results to compute the multiplicative-sum Zagreb index for several classes of chemical graphs and nanostructures.
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| first_indexed | 2024-03-11T11:54:54Z |
| format | Article |
| id | doaj.art-839e89120000418c8cf6f4f72d23abc4 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:54:54Z |
| publishDate | 2020-10-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-839e89120000418c8cf6f4f72d23abc42023-11-08T20:01:22ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882020-10-0139310.5269/bspm.40503Multiplicative-sum Zagreb index of splice, bridge, and bridge-cycle graphsMahdieh Azari0Islamic Azad University The multiplicative-sum Zagreb index is a graph invariant defined as the product of the sums of the degrees of pairs of adjacent vertices in a graph. In this paper, we compute the multiplicative-sum Zagreb index of some composite graphs such as splice graphs, bridge graphs, and bridge-cycle graphs in terms of the multiplicative-sum Zagreb indices of their components. Then, we apply our results to compute the multiplicative-sum Zagreb index for several classes of chemical graphs and nanostructures. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/40503 |
| spellingShingle | Mahdieh Azari Multiplicative-sum Zagreb index of splice, bridge, and bridge-cycle graphs Boletim da Sociedade Paranaense de Matemática |
| title | Multiplicative-sum Zagreb index of splice, bridge, and bridge-cycle graphs |
| title_full | Multiplicative-sum Zagreb index of splice, bridge, and bridge-cycle graphs |
| title_fullStr | Multiplicative-sum Zagreb index of splice, bridge, and bridge-cycle graphs |
| title_full_unstemmed | Multiplicative-sum Zagreb index of splice, bridge, and bridge-cycle graphs |
| title_short | Multiplicative-sum Zagreb index of splice, bridge, and bridge-cycle graphs |
| title_sort | multiplicative sum zagreb index of splice bridge and bridge cycle graphs |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/40503 |
| work_keys_str_mv | AT mahdiehazari multiplicativesumzagrebindexofsplicebridgeandbridgecyclegraphs |