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Reformulated Zagreb Indices of Some Derived Graphs [PDF]

open access: yesMathematics, 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   +4 more
doaj   +5 more sources

First reformulated Zagreb indices of some classes of graphs

open access: yesKarpatsʹkì 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   +2 more
doaj   +6 more sources

Note on the Reformulated Zagreb Indices of Two Classes of Graphs

open access: yesJournal 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   +3 more
doaj   +5 more sources

Reformulated Zagreb Indices of Trees [PDF]

open access: yesMathematics 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   +4 more sources

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

open access: yesKuwait 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   +4 more sources

On reformulated Zagreb indices

open access: yesDiscrete Applied Mathematics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aleksandar Ilic, Bo Zhou 0007
exaly   +6 more sources

Reformulated First Zagreb Index of Some Graph Operations

open access: yesMathematics, 2015
The reformulated Zagreb indices of a graph are obtained from the classical Zagreb indices by replacing vertex degrees with edge degrees, where the degree of an edge is taken as the sum of degrees of the end vertices of the edge minus 2. In this paper, we
Nilanjan De   +2 more
doaj   +4 more sources

Reformulated Zagreb indices of thorny graphs and algorithms

open access: yesMathematics 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   +4 more sources

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

open access: yesJournal 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   +5 more
doaj   +2 more sources

Reformulated Zagreb Indices of Some Cycle-Related Graphs and Linear [n]-Phenylenes

open access: yesOsmaniye Korkut Ata Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Graph invariants (topological indices) are numerical values of graphs obtained from 2-dimensional (2-D) images of chemical structures. These invariants are used in the structure-property/activity studies to predict certain properties such as the enthalpy of vaporization, and stability of molecular structures. In this paper, reformulated Zagreb indices,
Özge Çolakoğlu Havare
openaire   +4 more sources

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