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Results on the elliptic Sombor index
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The newly introduced elliptic Sombor index of a graph $G$ is defined as follows[[EQUATION]]
in which $E$ and $d(u)$ are the edge set of $G$ and the degree of the vertex $u$ in $G$, respectively. \\
In this paper, we compute the elliptic Sombor index for certain graphs. Furthermore, we obtain new results and bounds for the elliptic Sombor index in a graph.
Title: Results on the elliptic Sombor index
Description:
The newly introduced elliptic Sombor index of a graph $G$ is defined as follows[[EQUATION]]
in which $E$ and $d(u)$ are the edge set of $G$ and the degree of the vertex $u$ in $G$, respectively.
\\
In this paper, we compute the elliptic Sombor index for certain graphs.
Furthermore, we obtain new results and bounds for the elliptic Sombor index in a graph.
Related Results
Chemical applicability and curvilinear regression models of vertex-degree-based topological index: Elliptic Sombor index
Chemical applicability and curvilinear regression models of vertex-degree-based topological index: Elliptic Sombor index
Abstract
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Temperature Elliptic Sombor and Modified Temperature Elliptic Sombor Indices
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Sombor Index and Sombor Polynomial of the Noncommuting Graph Associated to Some Finite Groups
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Sombor index is a newly developed degree-based topological index which involves the degree of the vertex in a simple connected graph. The Sombor index is known as the square root o...
The Effect of Vertex and Edge Removal on Sombor Index
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A vertex degree based topological index called the Sombor index was recently defined in 2021 by Gutman and has been very popular amongst chemists and mathematicians. We determine t...
Sombor index and its applications
Sombor index and its applications
A novel topological index, the Sombor index, has been proposed by Ivan Gutman in a recent paper [1]. Motivated by this novel index, we study the new variants of Sombor index and to...
The Effect of Vertex and Egde Removal on Sombor Index
The Effect of Vertex and Egde Removal on Sombor Index
Sombor index was recently defined in 2021 as a new vertex degree based topological index by Gutman and has received great attention of mathematicians and chemists. In this work, we...
Analysis of Bismuth (III) Iodide and Dendrimers in Drug Applications
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Dendrimers are spherical three-dimensional molecules with a repetitively branching core. They are normally symmetric around the core. Bismuth (III) iodide has the formula
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Enhanced Scalar Multiplication Algorithm over Prime Field Using Elliptic Net
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Scalar multiplication in elliptic curve cryptography is the most expensive and time-consuming operation. The elliptic curve cryptography attracted interest due to the development o...