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Enhanced Mathematical Models for the Sombor Index: Reduced and Co-Sombor Index Perspectives
Data Analytics and Artificial IntelligenceIn this study, we extend the mathematical framework of the Sombor index and its variants by developing enhanced versions: The Enhanced Sombor Index (ESO), Enhanced Reduced Sombor Index (ERSO), and Enhanced co-Sombor Index (ECSO). These enhanced indices incorporate weighting functions to provide a more nuanced analysis of graph properties. We derive key
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On Euler Sombor Index of Tricyclic Graphs
Match Communications in Mathematical and in Computer ChemistrySummary: Let \(G\) be a simple graph. The Euler Sombor index of \(G\) is defined as \[ EU(G)=\sum\limits_{xy\in E(G)}\sqrt{d_G^2 (x)+d_G^2 (y)+\left(d_G (x)d_G (y)\right)}, \] where \(d_G (x)\) denotes the degree of the vertex \(x\), and the sum runs over the set of edges of \(G\). In this paper we determine the extremal values of Euler Sombor index of
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Sombor Index and Sombor Spectrum of Cozero-Divisor Graph of $$\mathbb Z_n$$
Results in MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Anwar +3 more
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Sombor index: review of extremal results and bounds
Journal of Mathematical Chemistry, 2022Hechao Liu, Ivan Gutman, Lihua You
exaly
Sombor index and degree-related properties of simplicial networks
Applied Mathematics and Computation, 2022Yilun Shang
exaly
Extremal values of the Sombor index in unicyclic and bicyclic graphs
Journal of Mathematical Chemistry, 2021Roberto Cruz, Juan Rada
exaly
Sombor index in various graphs
AIP Conference Proceedings, 2023R. Shakthivel +3 more
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The reduced Sombor index and the exponential reduced Sombor index of a molecular tree
Journal of Mathematical Analysis and Applications, 2022Baoyindureng Wu
exaly