Results 161 to 170 of about 775 (185)

Sombor and KG-Sombor Indices of Benzenoid Systems and Phenylenes

Annals of Pure and Applied Mathematics, 2022
Let d(v) denote the degree of a vertex v, and d(e) the degree of an edge e. The Sombor index SO is a vertex-degree-based (VDB) topological index, equal to the sum of terms ( ) ( ) 2 2 d u d v + over all pairs of adjacent vertices u and v of the underlying molecular graph.
null V.R.Kulli, Ivan Gutman
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Extremal Sombor Indices of Tetracyclic (Chemical) Graphs

Match Communications in Mathematical and in Computer Chemistry, 2022
Summary: Based on elementary geometry, \textit{I. Gutman} [MATCH Commun. Math. Comput. Chem. 86, No. 1, 11--16 (2021; Zbl 1474.92154)] proposed the novel graph invariant called the Sombor index, which was defined as \(SO(G)=\sum\limits_{uv\in E(G)}\sqrt{d_u^2+d_v^2}\), where \(d_u\) denotes the degree of vertex \(u\). It has been proved that the Sombor
Liu, Hechao, You, Lihua, Huang, Yufei
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Quasi-tree graphs with the minimal Sombor indices

Czechoslovak Mathematical Journal, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Yibo, Liu, Huiqing, Zhang, Ruiting
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F-Sombor and Modified F-Sombor Indices of Certain Nanotubes

Annals of Pure and Applied Mathematics, 2023
In this study, we introduce the F-Sombor index, modified F-Sombor index and their exponentials of a graph. Furthermore, we present exact expressions for these FSombor indices and their exponentials of certain nanotubes.
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On Extremal Sombor Indices of Chemical Graphs, and Beyond

MATCH Communications in Mathematical and in Computer Chemistry, 2022
Summary: For a (chemical) graph \(G\) with vertex set \(V_G\) and edge set \(E_G\), the Sombor index is defined as \(SO(G)=\sum\limits_{uv\in E_G}\sqrt{d^2(u)+d^2(v)} \), where \(d(u)\) denotes the degree of vertex \(u\) in \(G\). In this paper, we determine the second and third minimum (resp.
Liu, Hechao, You, Lihua, Huang, Yufei, Tang, Zikai   +3 more
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Multiplicative Elliptic Sombor and Multiplicative Modified Elliptic Sombor Indices

Annals of Pure and Applied Mathematics
We define the multiplicative elliptic Sombor index, and multiplicative modified elliptic Sombor index and determine exact formulas for two families of dendrimer nanostars.
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Downhill Sombor and Modified Downhill Sombor Indices of Graphs

Annals of Pure and Applied Mathematics
In this study, we introduce the downhill Sombor and modified downhill Sombor indices and their corresponding exponentials of a graph. Furthermore, we compute these indices for some standard graphs, wheel graphs and honeycomb networks.
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Sombor Uphill Indices of Graphs

International Journal of Mathematics and Statistics Invention
In this study, we introduce the uphill Sombor and modified uphill Sombor indices and their corresponding exponentials of a graph. Furthermore, we compute these indices for some standard graphs, wheel graphs, gear graphs, helm graphs.
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Sombor-Type Indices for Certain Interconnection Networks

Match Communications in Mathematical and in Computer Chemistry
The Sombor-type indices, recently introduced by Gutman, are novel the vertex-degree-based topological indices. Based on these, we study the Sombor-type indices and other new vertex-degree-based topological indices for butterfly networks, augmented butterfly networks, enhanced butterfly networks, Benes networks, mesh derived networks and the Optical ...
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The statistical analysis for Sombor indices in a random polygonal chain networks

Discrete Applied Mathematics, 2023
Jia-Bao Liu, Xin-Bei Peng
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