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Eccentricity-Based Topological Descriptors of First Type of Hex-Derived Network
Published 2022-01-01“…Graph theory has made significant progress in mathematical chemistry and has gained a lot of traction among scientists due to its numerous applications in mathematical chemistry. …”
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On Solution of Integrodifferential Equation with Delay Parameter by Sinc Basis Functions
Published 2014-01-01“…This type of problems arises in mathematical physics, mechanics, population growth, and other fields of physics and mathematical chemistry. So, convergence of this approach is discussed by presenting a theorem which gives exponential type convergence rate and guarantees the accuracy of that. …”
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Computing Topological Indices and Polynomials of the Rhenium Trioxide
Published 2022-01-01“…In the study of mathematical chemistry and chemical graph theory, a topological index, also known as a connectivity index, is the arithmetical framework of a graph that specifies its topology and also graph invariant. …”
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Some New Upper Bounds for the Y-Index of Graphs
Published 2022-01-01“…In mathematical chemistry, the topological indices with highly correlation factor play a leading role specifically for developing crucial information in QSPR/QSAR analysis. …”
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Eccentric Harmonic Index for the Cartesian Product of Graphs
Published 2022-01-01“…These obtained formulas can be used in QSAR and QSPR studies to get a better understanding of their applications in mathematical chemistry.…”
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Topological Indices of Total Graph and Zero Divisor Graph of Commutative Ring: A Polynomial Approach
Published 2023-01-01“…The algebraic polynomial plays a significant role in mathematical chemistry to compute the exact expressions of distance-based, degree-distance-based, and degree-based topological indices. …”
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Connection-Based Multiplicative Zagreb Indices of Dendrimer Nanostars
Published 2021-01-01“…The field of graph theory is broadly growing and playing a remarkable role in cheminformatics, mainly in chemistry and mathematics in developing different chemical structures and their physicochemical properties. Mathematical chemistry provides a platform to study these physicochemical properties with the help of topological indices (TIs). …”
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On Topological Indices of Fractal and Cayley Tree Type Dendrimers
Published 2018-01-01“…These descriptors are studied and used in mathematical chemistry, medicines, and drugs designs and in other areas of applied sciences. …”
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Comparative Analysis of Subdivided Hex-Derived Networks Using Structural Descriptors
Published 2022-01-01“…Hex-derived networks HDN1n and HDN2n being dual of (3,12,12) and (4,8,8) carbon allotrope (nanocones, nanotubes) are quite fascinating structures in mathematical chemistry. In this paper, we compute exact formulas of various significant structure descriptors for the subdivision of the second and the third kind of hex-derived networks SHDN2n and SHDN3n, respectively. …”
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Characterization of Extremal Unicyclic Graphs Using F-Coindex
Published 2021-01-01“…The study of forgotten index and coindex for the molecular structures of some special chemical graphs (compounds and drugs) has proven significant in medical and pharmaceutical drug design fields by making reliable statistical conclusion about biological properties of new chemical compounds and drugs. In mathematical chemistry, finding extreme graphs with respect to topological index is an active area of research. …”
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Novel Degree-Based Topological Descriptors of Carbon Nanotubes
Published 2021-01-01“…The most significant tool of mathematical chemistry is the numerical descriptor called topological index. …”
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Molecular Descriptors on Line Graphs of Cactus Chains and Rooted Products Graphs
Published 2022-01-01“…The application of graph theory in the study of molecular physical and chemical properties involves theoretical mathematical chemistry. Atoms, represented by vertices, and edges, represented by bonds between them, are detailed in simple graphs called chemical graphs. …”
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M-Polynomials and Degree-Based Topological Indices of Triangular, Hourglass, and Jagged-Rectangle Benzenoid Systems
Published 2018-01-01“…Chemical graph theory is a branch of mathematical chemistry which has an important effect on the development of the chemical sciences. …”
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Connection Number- Based Topological Indices of Cartesian Product of Graphs
Published 2023-01-01“…Investigating these chemical characteristics of topological indices (TIs) is made possible by the discipline of mathematical chemistry. In this article, we study with the Cartesian product of complete graphs, with path graphs, and find their general result of connection number (CN)-based TIs, namely, first connection- based Zagreb index (1st CBZI), second connection- based Zagreb index (2nd CBZI), and third CBZI (3rd CBZI) and then modified first connection- based Zagreb index (CBZI) and second and third modified CBZIs. …”
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Analysis of Bismuth (III) Iodide and Dendrimers in Drug Applications
Published 2022-01-01“…The reaction between bismuth and iodine produces this gray-black solid, which was of great interest in qualitative inorganic analysis. Mathematical chemistry is an area of mathematics that employs mathematical methods to tackle chemical-related problems. …”
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On QSPR analysis of pulmonary cancer drugs using python-driven topological modeling
Published 2025-02-01“…The integration of computational and mathematical chemistry will make it easier to evaluate drugs because it can assure consistent data for preclinical development. …”
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STEM Applications in Turkish Science High Schools
Published 2016-07-01“…The Advisory Board selected 30 teachers from Mathematics, Chemistry, Physics and Biology disciplines by written and oral exams from the existing high schools of MoNE from all over the Turkey. …”
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