Topological indices of the -graph

Ayache, Ahmed; Alameri, Abdu

doi:10.1016/j.jaubas.2017.03.001

Cited by 16 publications

(12 citation statements)

References 6 publications

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“…Moreover, we have studied the correlation coefficient between them to investigate the effectiveness of these indices in practical applications. We refer the interested reader to [12], [13], [2], [14], [15] for some recent results.…”

Section: Introductionmentioning

confidence: 99%

Topological Indices of Some New Graph Operations and Their Possible Applications

Alameri

Alsharafi

2021

AJPAS

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A chemical graph theory is a fascinating branch of graph theory which has many applications related to chemistry. A topological index is a real number related to a graph, as its considered a structural invariant. It’s found that there is a strong correlation between the properties of chemical compounds and their topological indices. In this paper, we introduce some new graph operations for the first Zagreb index, second Zagreb index and forgotten index "F-index". Furthermore, it was found some possible applications on some new graph operations such as roperties of molecular graphs that resulted by alkanes or cyclic alkanes.

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Section: Introductionmentioning

confidence: 99%

Topological Indices of Some New Graph Operations and Their Possible Applications

Alameri

Alsharafi

2021

AJPAS

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“…Some Zagreb indices are very close to the wiener index [3], Gutman [4] worked on the multiplicative degree-based TIs for tree graphs, Kwunet et al studied the multiplicative degree-based TIs for the silicon carbides [5], Hayat et al [6] worked on many degree-based molecular descriptors for silicates, oxides, hexagonal, and honeycombs, Darafsheh [7] introduced various suitable ways and techniques to estimate the Wiener index, Padmaker-Ivan index, and Szeged index, Kulli [8] wrote on F-indices on chemical networks, M. Saddiqui defined Zagreb indices for symmetrical nanotubes [9], Geo et al worked for the Zagreb indices for the nanotubes [10], and Idrees et al apply molecular descriptors to the benzenoid system [11]. Ayachye and Alameri [12] defined the topological indices such as Wiener index, hyper-Wiener index, Zagreb index, Schultz index, and modified Schultz index for mk graphs. Geo et al [13] defined the eccentricity-based TIs for the class of cycloalkanes.…”

Section: Introductionmentioning

confidence: 99%

On Some Properties of Multiplicative Topological Indices in Silicon-Carbon

Mahboob

Jaradat³

et al. 2021

Journal of Mathematics

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The use of graph theory can be visualized in nanochemistry, computer networks, Google maps, and molecular graph which are common areas to elaborate application of this subject. In nanochemistry, a numeric number (topological index) is used to estimate the biological, physical, and structural properties of chemical compounds that are associated with the chemical graph. In this paper, we compute the first and second multiplicative Zagreb indices ( M 1 G and ( M 1 G )), generalized multiplicative geometric arithmetic index ( GA α II G ), and multiplicative sum connectivity and multiplicative product connectivity indices ( SCII G and PCII G ) of SiC 4 − I m , n and SiC 4 − II m , n .

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“…A graph can be identified by a corresponding numerical value, a sequence of numbers, or a special polynomial or a matrix. Special attention is directed to chemical graphs which constitute a wonderful topic in graph theory because of the abundance of applications in chemistry or in medical science [1,2]. Topological index and coindex are invariant under graph automorphism.…”

Section: Introductionmentioning

confidence: 99%

“…It is called the hyper-Zagreb index that is defined as above. en, the second hyper-Zagreb index of a graph G is defined as the sum of the weights (δ G (u)δ G (v)) 2 and is equal to…”

Section: Introductionmentioning

confidence: 99%

The Second Hyper-Zagreb Coindex of Chemical Graphs and Some Applications

Ayache

Alameri

Alsharafi

et al. 2021

Journal of Chemistry

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The second hyper-Zagreb coindex is an efficient topological index that enables us to describe a molecule from its molecular graph. In this current study, we shall evaluate the second hyper-Zagreb coindex of some chemical graphs. In this study, we compute the value of the second hyper-Zagreb coindex of some chemical graph structures such as sildenafil, aspirin, and nicotine. We also present explicit formulas of the second hyper-Zagreb coindex of any graph that results from some interesting graphical operations such as tensor product, Cartesian product, composition, and strong product, and apply them on a q-multiwalled nanotorus.

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Topological indices of the -graph

Cited by 16 publications

References 6 publications

Topological Indices of Some New Graph Operations and Their Possible Applications

Topological Indices of Some New Graph Operations and Their Possible Applications

On Some Properties of Multiplicative Topological Indices in Silicon-Carbon

The Second Hyper-Zagreb Coindex of Chemical Graphs and Some Applications

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