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Geometric approach to vertex‐degree‐based topological indices–Elliptic Sombor index, theory and application

International Journal of Quantum Chemistry
A novel geometric method is proposed for constructing vertex‐degree‐based molecular structure descriptors (topological indices). The model is based on an ellipse whose focal points represent the degrees of a pair of adjacent vertices.
Ivan Gutman, Boris Furtula, M. Oz
semanticscholar   +1 more source

Computation of some important degree-based topological indices for γ- graphyne and Zigzag graphyne nanoribbon

Molecular Physics, 2023
Topological indices serve as mathematical tools for characterising the molecular structure of a compound, and are useful to anticipate its properties. Actually, these are quantitative measures that can provide valuable information regarding the structure
Abdul Hakeem, Asad Ullah, Shahid Zaman
semanticscholar   +1 more source

Extremal chemical graphs of maximum degree at most 3 for 33 degree-based topological indices

Match-communications in Mathematical and in Computer Chemistry
We consider chemical graphs that are defined as connected graphs of maximum degree at most 3. We characterize the extremal ones, that is, those that maximize or minimize 33 degree-based topological indices.
Sébastien Bonte   +4 more
semanticscholar   +1 more source

Curvilinear regression analysis and ranking of migraine treatment drugs using degree-based topological indices and the WASPAS method

Comput. Biol. Medicine
Topological indices, derived from molecular graphs, provide valuable numerical descriptors for the comprehensive analysis of pharmaceuticals. These indices are pivotal in the physicochemical characterization and predictive assessment of various drugs. In
M. W. Rasheed
semanticscholar   +1 more source

Vertex-Degree Based Topological Indices of Graphene

Polycyclic Aromatic Compounds, 2020
A vertex-degree-based (VDB, for short) topological index φ is defined for a graph G with n vertices as φ(G)=∑1≤i≤j≤n−1mi,j(G)φ(i,j), where mi,j=mi,j(G) is the number of edges of G joining a vertex ...
openaire   +1 more source

On the QSPR Analysis of Diabetic Nephropathy with the Degree-based Topological Indices

Asian Journal of Chemical Sciences
Aims: In this article, the drugs used in the treatment of Diabetic Nephropathy are analyzed using the topological indices, and a QSPR analysis of the chemical properties is done.
S. Nagarajan, B. Aswini
semanticscholar   +1 more source

Entropies and Degree-Based Topological Indices of Coronene Fractal Structures

Fractal and Fractional
Molecular fractals are geometric patterns that appear self-similar across all length scales and are constructed by repeating a single unit on a regular basis. Entropy, as a core thermodynamic function, is an extension based on information theory (such as
Si-Ao Xu, Jia-bao Liu
semanticscholar   +1 more source

QSPR Analysis of Some Important Drugs Used in Heart Attack Treatment via Degree-Based Topological Indices and Regression Models

Polycyclic aromatic compounds (Print), 2023
Degree-based topological indices are very useful tools to model and characterize the molecular structure of drugs in order to predict their physicochemical properties without going into laborious and time-consuming laboratory experiments.
Abdul Hakeem   +3 more
semanticscholar   +1 more source

Reversed degree-based topological indices for benzenoid systems

2021
Summary: Topological indices are numerical values that correlate the chemical structures with physical properties. In this article, we compute some reverse topological indices namely reverse Atom-bond connectivity index and reverse Geometric-arithmetic index for four different types of Benzenoid systems.
Virk, Abaid Ur Rehman   +3 more
openaire   +2 more sources

Reverse-degree-based topological indices of fullerene cage networks

Molecular Physics, 2023
Totally made of carbon atoms, fullerene is a spherical molecule with a three-dimensional pattern like a soccer ball. The most prevalent kind of fullerene is C60, which has 60 carbon atoms organised in a pattern like that of a soccer ball (12 pentagons ...
A. Ahmad, Ali N. A. Koam, Muhammad Azeem
semanticscholar   +1 more source

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