Results 11 to 20 of about 775 (185)
Applied Mathematics and Computation, 2023 Let G = (V (G), E(G)) be a simple graph and denote by du the degree of the vertex u ∈ V (G). Using a geometric approach, I. Gutman introduced a new vertex-degree-based topological index, defined as (...) and named Sombor index. It is a molecular descriptor with an impressive research activity in recent years.
Juan Rada +2 more
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Geometric perspective to Degree–Based topological indices of supramolecular chain
Results in Engineering, 2022 Sombor index and their types are introduced pertaining to Euclidean geometry. In graph-theoretical terminology, it is the sum of all pairs of adjacent vertices di2+dj2 given di is the degree of ith vertex.
Muhammad Imran +4 more
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Comparisons of the Sombor Index of Alkane, Alkyl, and Annulene Series with Their Molecular Mass
Journal of Chemistry, 2022 Suppose G is an undirected simple graph. A topological index for G is a number with this property that it is invariant under all graph isomorphisms with applications in chemistry.
Maryam Mohammadi +2 more
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Degree-Based Molecular Descriptors of Guar Gum and Its Chemical Derivatives
Journal of Chemistry, 2022 The most abundant polycarbonates that are found in food are polysaccharides. A long chain of monosaccharide with glycosidic linkages forms polymeric carbohydrates. These carbohydrates with water in the process of hydrolysis produces sugar monosaccharides
M. C. Shanmukha +4 more
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Symmetry, 2021 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
Cangul, Ismail +3 more
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Investigating Seidel energies and thermodynamic properties of benzenoid hydrocarbons through regression models. [PDF]
Sci RepIn this article, we present the concept of extended Seidel energy by employing a generalized extended matrix to study various molecular properties, including the Kovats retention index, boiling point, enthalpy of formation, entropy, acentric factor, and ...
Ismail R +6 more
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Greedy trees have minimum Sombor indices
, 2022 Recently, Gutman [MATCH Commun. Math. Comput. Chem. 86 (2021) 11-16] defined a new graph invariant which is named the Sombor index $\mathrm{SO}(G)$ of a graph $G$ and is computed via the expression \[ \mathrm{SO}(G) = \sum_{u \sim v} \sqrt{\mathrm{deg}(
Damnjanović, Ivan, Stevanović, Dragan
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Analysis of Dendrimer Generation by Sombor Indices
Journal of Chemistry, 2021 Dendrimers are highly branched, star-shaped macromolecules with nanometer-scale dimensions. Dendrimers are defined by three components: a central core, an interior dendritic structure (the branches), and an exterior surface with functional surface groups.
Shahid Amin +3 more
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Graphs with given connectivity and their minimum Sombor index having applications to QSPR studies of monocarboxylic acids. [PDF]
HeliyonThe Sombor index, introduced by Gutman in 2021, represents a novel graphical topological descriptor reliant upon graph degree information. It holds promise for elucidating the thermodynamic behavior of compounds.
Hayat S, Arshad M, Khan A.
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Journal of Applied MathematicsThis article explores numerous significant additive topological indices based on degrees for linear functional graphs over finite-dimensional vector spaces.
Vinnarasi L. +3 more
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