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Reformulated Zagreb Indices of Some Derived Graphs [PDF]

Mathematics, 2019
A topological index is a numeric quantity that is closely related to the chemical constitution to establish the correlation of its chemical structure with chemical reactivity or physical properties.
Jia-Bao Liu, Bahadur Ali, Muhammad Aslam Malik, Hafiz Muhammad Afzal Siddiqui, Muhammad Imran   +4 more
doaj   +4 more sources

QSPR Study and Distance-Based New Topological Descriptors of Some Drugs Used in the COVID-19 Treatment

Journal of Mathematics, 2023
In chemistry and medical sciences, it is essential to study the chemical, biological, clinical, and therapeutic aspects of pharmaceuticals. To save time and money, mathematical chemistry focuses on topological indices used in quantitative structure ...
Vignesh Ravi, Natarajan Chidambaram, Özge Çolakoğlu, Hanan Ahmed, Subhasri Jaganathan, Jayasri Jaganathan   +5 more
doaj   +2 more sources

European guideline on obesity care in patients with gastrointestinal and liver diseases - Joint European Society for Clinical Nutrition and Metabolism / United European Gastroenterology guideline. [PDF]

United European Gastroenterol J, 2022
Abstract Background Patients with chronic gastrointestinal (GI) disease such as inflammatory bowel disease (IBD), irritable bowel syndrome (IBS), celiac disease, gastroesophageal reflux disease (GERD), pancreatitis, and chronic liver disease (CLD) often suffer from obesity because of coincidence (IBD, IBS, celiac disease) or related pathophysiology ...
Bischoff SC, Barazzoni R, Busetto L, Campmans-Kuijpers M, Cardinale V, Chermesh I, Eshraghian A, Kani HT, Khannoussi W, Lacaze L, Léon-Sanz M, Mendive JM, Müller MW, Ockenga J, Tacke F, Thorell A, Vranesic Bender D, Weimann A, Cuerda C.   +18 more
europepmc   +2 more sources

On Trees with Greatest F-Invariant Using Edge Swapping Operations. [PDF]

Comput Intell Neurosci, 2022
The F‐index of a graph Q is defined as FQ=∑t∈VQdt3. In this paper, we use edge swapping transformations to find the extremal value of the F‐index among the class of trees with given order, pendent vertices, and diameter. We determine the trees with given order, pendent vertices, and diameter having the greatest F‐index value.
Wang W, Aslam A, Binyamin MA, Kanwal S, Irshad I.   +4 more
europepmc   +2 more sources

Degree-Based Topological Indices of Generalized Subdivision Double-Corona Product

Journal of Chemistry, 2022
Graph operations play an important role in constructing complex network structures from simple graphs. Computation of topological indices of these complex structures via graph products is an important task.
Ying Wang, Muhammad Waheed, Muhammad Kamran Jamil, Syed Mazhar Shah, Adnan Aslam, Hamideh Aram   +5 more
doaj   +2 more sources

Two Complex Graph Operations and their Exact Formulations on Topological Properties

Complexity, 2022
Graph operations are utilized for developing complicated graph structures from basic graphs, and these basic graphs can help to understand the properties of complex networks. While on the other side, the topological descriptor is known as a numeric value
Shehla Hameed, Muhammad Kamran Jamil, Muhammad Waheed, Muhammad Azeem, Senesie Swaray   +4 more
doaj   +2 more sources

Reformulated Zagreb Indices of Trees [PDF]

Mathematics Interdisciplinary Research
‎Zagreb indices were reformulated in terms of the edge degrees instead of the vertex degrees‎. For a graph $G$‎, ‎the first and second reformulated Zagreb indices are defined respectively as‎:‎$$EM_1(G)=\sum_{\varepsilon\in E(G)}d^2(\varepsilon), EM_2(G)=
Nasrin Dehgardi
doaj   +2 more sources

First reformulated Zagreb indices of some classes of graphs

Karpatsʹkì Matematičnì Publìkacìï, 2018
A topological index of a graph is a parameter related to the graph; it does not depend on labeling or pictorial representation of the graph. Graph operations plays a vital role to analyze the structure and properties of a large graph which is derived ...
V. Kaladevi, R. Murugesan, K. Pattabiraman   +2 more
doaj   +3 more sources

Note on the Reformulated Zagreb Indices of Two Classes of Graphs

Journal of Chemistry, 2020
The reformulated Zagreb indices of a graph are obtained from the original Zagreb indices by replacing vertex degrees with edge degrees, where the degree of an edge is taken as the sum of degrees of its two end vertices minus 2.
Tongkun Qu, Mengya He, Shengjin Ji, Xia Li   +3 more
doaj   +2 more sources

Reformulated Zagreb indices of thorny graphs and algorithms

Mathematics in Applied Sciences and Engineering
Molecular descriptors (graph indices) numerically describe the topologies of the chemicals. Graph indices are used to estimate certain properties of molecules. In this paper, reformulated first/second Zagreb indices for the thorny graph of any graph are
Özge ÇOLAKOĞLU
doaj   +2 more sources