On the inverse degree index and decompositions in graphs
The inverse degree index of a graph $G=(V,E)$ without isolated vertices is defined as $\ID(G)=\sum_{v\in V}\frac{1}{dv}$, where $dv$ is the degree of the vertex $v$ in $G$. In this paper, we show a relation between the inverse degree of a graph and the inverse degree indices of the primary subgraphs...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2019-10-01
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| Series: | Kuwait Journal of Science |
| Subjects: | |
| Online Access: | https://journalskuwait.org/kjs/index.php/KJS/article/view/6170 |
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| Summary: | The inverse degree index of a graph $G=(V,E)$ without isolated vertices is defined as $\ID(G)=\sum_{v\in V}\frac{1}{dv}$, where $dv$ is the degree of the vertex $v$ in $G$. In this paper, we show a relation between the inverse degree of a graph and the inverse degree indices of the primary subgraphs obtained by a general decomposition of $G$, we establish some relations between the inverse degree index and other known indices and an application to a specific chemical structure is given.
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| ISSN: | 2307-4108 2307-4116 |