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A Matrix Approach to Vertex-Degree-Based Topological Indices
MathematicsA VDB (vertex-degree-based) topological index over a set of digraphs H is a function φ:H→R, defined for each H∈H as φH=12∑uv∈Eφdu+dv−, where E is the arc set of H, du+ and dv− denote the out-degree and in-degree of vertices u and v respectively, and φij ...
Roberto Cruz, Carlos Espinal, Juan Rada
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Degree-based topological indices on anticancer drugs with QSPR analysis. [PDF]
Heliyon, 2020 Shanmukha MC +3 more
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Weakly discriminating vertex-degree-based topological indices [PDF]
match Communications in Mathematical and in Computer Chemistry, 2021 Let Gn be the set of graphs with n vertices and H ⊆ Gn. For each H ∈ H, let m(H) = {mi,j (H)}, where mi,j (H) is the number of edges in H that join a vertex of degree i with a vertex of degree j. A vertex-degree-based (VDB, for short) topological index φ is discriminating over H if non-isomorphic graphs in H have different values of φ. We say that φ is
Rada, Juan +2 more
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Ve-Degree, Ev-Degree, and Degree-Based Topological Indices of Fenofibrate
Journal of Mathematics, 2022 The molecular topology of a graph is described by topological indices, which are numerical measures. In theoretical chemistry, topological indices are numerical quantities that are used to represent the molecular topology of networks.
Sadik Delen +6 more
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Extremal topological indices of some nanostructures
Heliyon, 2023 In this work, general formulas of degree-based and neighborhood degree sum-based topological indices for a 2D lattice of H-Naphtalenic nanotubes and pent-heptagonal nanosheets are determined.
Shivani Rai +3 more
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Novel Degree-Based Topological Descriptors of Fenofibrate Using M-Polynomial
Journal of Mathematics, 2023 Chemical graph theory is currently expanding the use of topological indices to numerically encode chemical structure. The prediction of the characteristics provided by the chemical structure of the molecule is a key feature of these topological indices ...
Muhammad Kamran +6 more
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On degree–based topological indices of random polyomino chains
Mathematical Biosciences and Engineering, 2022 <abstract><p>In this article, we study the degree-based topological indices in a random polyomino chain. The key purpose of this manuscript is to obtain the asymptotic distribution, expected value and variance for the degree-based topological indices in a random polyomino chain by using a martingale approach.
Saylé Sigarreta +2 more
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M-Polynomials and Degree-Based Topological Indices of the Molecule Copper(I) Oxide
Journal of Chemistry, 2021 Topological indices are numerical parameters used to study the physical and chemical residences of compounds. Degree-based topological indices have been studied extensively and can be correlated with many properties of the understudy compounds.
Faryal Chaudhry +5 more
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Some degree-based topological indices of triphenylene polyester
Indonesian Journal of Combinatorics, 2021 Molecules can be modelled by graphs to obtain their required properties by means of only mathematical methods and formulae. In this paper, several degree-based graph indices of one of the important chemical compounds called as polyester are calculated to
Muge Togan +3 more
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On Degree-Based Topological Indices of Toeplitz Graphs
International Journal of Analysis and Applications, 2023 In this research paper, the determination of the orientation of a linear interpolation in an interconnected graph can be achieved by measuring its distance from a group of sonar stations strategically positioned within the graph.
R. M. K. Iqbal +5 more
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