General Multiplicative Zagreb Indices of Graphs With Bridges
Multiplicative Zagreb indices have been studied due to their extensive applications. They play a substantial role in chemistry, pharmaceutical sciences, materials science and engineering, because we can correlate them with numerous physico-chemical properties of molecules. We use graph theory to cha...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IEEE
2020-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9125882/ |
| Summary: | Multiplicative Zagreb indices have been studied due to their extensive applications. They play a substantial role in chemistry, pharmaceutical sciences, materials science and engineering, because we can correlate them with numerous physico-chemical properties of molecules. We use graph theory to characterize these chemical structures. The vertices of graphs represent the atoms of a compound and edges of graphs represent the chemical bonds. We present upper and lower bounds on the general multiplicative Zagreb indices for graphs with given number of vertices and cut-edges called bridges. We give all the extremal graphs, which implies that our bounds are best possible. |
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| ISSN: | 2169-3536 |