Results 1 to 10 of about 90 (85)

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   +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

Bounds and extremal graphs of second reformulated Zagreb index for graphs with cyclomatic number at most three

Kuwait Journal of Science, 2021
Mili\v{c}evi\'{c} \textit{et al.}, in 2004, introduced topological indices known as Reformulated Zagreb indices, where they modified Zagreb indices using the edge-degree instead of vertex degree.
Abhay Rajpoot, Lavanya Selvaganesh
doaj   +1 more source

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   +1 more source

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   +1 more source

On the Inverse Problem for Some Topological Indices

Journal of Mathematics, 2021
The study of the inverse problem (IP) based on the topological indices (TIs) deals with the numerical relations to TIs. Mathematically, the IP can be expressed as follows: given a graph parameter/TI that assigns a non-negative integer value g to every ...
Durbar Maji, Ganesh Ghorai, Muhammad Khalid Mahmood, Md. Ashraful Alam   +3 more
doaj   +1 more source

Structures devised by the generalizations of two graph operations and their topological descriptors

Main Group Metal Chemistry, 2022
Graph theory served in different fields of sciences, especially in chemistry in which creating complex structures and studying their enormous properties. Graph operation is a tool to construct complex chemical structures using basic graphs.
Raza Hassan, Waheed Muhammad, Jamil Muhammad Kamran, Azeem Muhammad   +3 more
doaj   +1 more source