Article detail · 2021
On Sombor Index
- Year
- 2021
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- article
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Abstract
OpenAlex · English
The concept of Sombor index (SO) was recently introduced by Gutman in the chemical graph theory. It is a vertex-degree-based topological index and is denoted by Sombor index SO: SO=SO(G)=∑vivj∈E(G)dG(vi)2+dG(vj)2, where dG(vi) is the degree of vertex vi in G. Here, we present novel lower and upper bounds on the Sombor index of graphs by using some graph parameters. Moreover, we obtain several relations on Sombor index with the first and second Zagreb indices of graphs. Finally, we give some conclusions and propose future work.
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154 citations
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18 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- Sombor Index over the Tensor and Cartesian Products of Monogenic Semigroup Graphs 2022
- Computing forgotten topological index of zero-divisor graphs of commutative rings 2022
- Independent domination polynomial of zero-divisor graphs of commutative rings 2022
- Computing forgotten topological index of zero-divisor graphs of commutative rings 2022
- Sombor index of zero-divisor graphs of commutative rings 2022
- Sombor index of zero-divisor graphs of commutative rings 2022
- Sombor index of zero-divisor graphs of commutative rings 2022
- Computing the Forgotten Topological Index for Zero Divisor Graphs of MV-Algebras 2021
- An Application of Sombor Index over a Special Class of Semigroup Graph 2021
- Computing the Forgotten Topological Index for Zero Divisor Graphs of MV-Algebras 2021