On the multiplicative sum Zagreb index of molecular graphs
Multiplicative sum Zagreb index is a modified version of the famous Zagreb indices. For a graph GG, the multiplicative sum Zagreb index is defined as Π1*(G)=∏uv∈E(G)(dG(u)+dG(v)){\Pi }_{1}^{* }\left(G)={\prod }_{uv\in E\left(G)}\left({d}_{G}\left(u)+{d}_{G}\left(v)), where E(G)E\left(G) is the edge...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2024-12-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2024-0108 |
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| Summary: | Multiplicative sum Zagreb index is a modified version of the famous Zagreb indices. For a graph GG, the multiplicative sum Zagreb index is defined as Π1*(G)=∏uv∈E(G)(dG(u)+dG(v)){\Pi }_{1}^{* }\left(G)={\prod }_{uv\in E\left(G)}\left({d}_{G}\left(u)+{d}_{G}\left(v)), where E(G)E\left(G) is the edge set of GG and dG(u){d}_{G}\left(u) stands for the degree of vertex uu in GG. In this article, we determine the extremal multiplicative sum Zagreb indices among all nn-vertex molecular trees, molecular unicyclic graphs, molecular bicyclic graphs and molecular tricyclic graphs. |
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| ISSN: | 2391-5455 |