Results 11 to 20 of about 1,417 (232)

Minimum atom-bond sum-connectivity index of unicyclic graphs with maximum degree [PDF]

Discrete Mathematics Letters
Summary: Let \(G\) be a graph with edge set \(E(G)\). Denote by \(d_u\) the degree of a vertex \(u\) in \(G\). The atom-bond sum-connectivity (ABS) index of \(G\) is defined as \(ABS(G) =\sum_{xy \in E(G)}\sqrt{(d_x+d_y -2)/(d_x+d_y)}\). In this article, we determine the minimum possible value of the ABS index of unicyclic graphs of order \(n\) and ...
Palaniyappan Nithya, , Suresh Elumalai, Selvaraj Balachandran   +2 more
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Comparative entropy analysis of 2D transition metal tetrahydroxyquinones via machine learning approaches [PDF]

Scientific Reports
This paper focuses on the study of the framework of transition metal tetrahydroxyquinone (TM-THQ) which is a chemical belonging to the metal-organic framework (MOF) family.
Muhammad Irfan, Nabeela Bashir, AbdulGuddoos S. A. Gaid, Turke Althobaiti, Hamood Ur Rehman, Andrea Semaničová-Feňovčíková   +5 more
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QSAR analysis of drugs using graph based degree based topological indices and regression models [PDF]

Scientific Reports
Drugs are chemical solutions that are extensively used in diagnosing, prevention and treatment of diseases. To develop the drugs, it is important to understand the correlation between the drugs structure and their physicochemical behavior.
Zeeshan Saleem Mufti, Aqsa Kabeer, Abdulrahman A. Almehizia, Gamachu Adugna Ganati   +3 more
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Enhancing bioinformatics engineering by utilizing graph therapeutic properties for clinically approved antitoxin drugs in zoonotic diseases [PDF]

Scientific Reports
Anthrax, a zoonotic disease caused by the bacterium Bacillus anthracis. It primarily affects animals and spreads to humans through direct contact or inhalation.
Muhammad Imran, Muhammad Aqib, Mehar Ali Malik, Sadia Jutt   +3 more
doaj   +2 more sources

On the general atom-bond sum-connectivity index

AIMS Mathematics, 2023
<abstract><p>This paper is concerned with a generalization of the atom-bond sum-connectivity (ABS) index, devised recently in [A. Ali, B. Furtula, I. Redžepović, I. Gutman, Atom-bond sum-connectivity index, <italic>J. Math. Chem.</italic>, <bold>60</bold> (2022), 2081-2093].
Abeer M. Albalahi, Zhibin Du, Akbar Ali
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Analysis of the properties of the topological Index using (analysis tools)

Al-Kitab Journal for Pure Sciences, 2023
Graph G has two sets of information: the vertices, V(G), and the edges, E(G). The definitions for the Connectivity, Geometric Arithmetic, Atomic Bond, and Sum Connectivity Indices of G: were deg(u), deg(v) are a degree of vertices. Dendrimers are
Batool Hatawi, Nabil Aref
doaj   +1 more source

Sharp inequalities for the atom-bond (sum) connectivity index

Journal of Mathematical Inequalities, 2023
For a graph \(G\), the atom-bond connectivity (ABC) index (respectively, atom-bond sum connectivity (ABS) index) of \(G\) is defined as the sum of the numbers \(\sqrt{\frac{d_i +d_j-2} {d_id_j}}\) (respectively, \(\sqrt{\frac{d_i +d_j -2} {d_i + d_j}}\) ) over all the unordered pairs \(\{v_i,v_j\}\) of adjacent vertices of \(G\), where \(d_i\) and ...
Ali, Akbar, Milovanović, Igor, Milovanović, Emina, Matejić, Marjan   +3 more
openaire   +1 more source

Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph

Journal of Chemistry, 2021
A measurement of the molecular topology of graphs is known as a topological index, and several physical and chemical properties such as heat formation, boiling point, vaporization, enthalpy, and entropy are used to characterize them.
Muhammad Asad Ali, Muhammad Shoaib Sardar, Imran Siddique, Dalal Alrowaili   +3 more
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Topological Descriptors of M-Carbon Mr,s,t

Journal of Chemistry, 2021
We have studied topological indices of the one the hardest crystal structures in a given chemical system, namely, M-carbon. These structures are based and obtained by the famous algorithm USPEX. The computations and applications of topological indices in
Hong Yang, Muhammad Naeem
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On the Computation of Some Topological Descriptors to Find Closed Formulas for Certain Chemical Graphs

Journal of Chemistry, 2021
In this research paper, we will compute the topological indices (degree based) such as the ordinary generalized geometric-arithmetic (OGA) index, first and second Gourava indices, first and second hyper-Gourava indices, general Randic´ index RγG,for γ=±1,
Muhammad Haroon Aftab, Muhammad Rafaqat, M. Hussain, Tariq Zia   +3 more
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