Topological Characterization of Carbon Graphite and Crystal Cubic Carbon Structures

Gao, Wei; Siddiqui, Muhammad Kamran; Naeem, Muhammad; Rehman, Najma Abdul

doi:10.3390/molecules22091496

Cited by 124 publications

(40 citation statements)

References 24 publications

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“…The Zagreb index is defined to be a topological descriptor which is related to substantial synthetic qualities of the atoms [16]. The particle bond network hyper Zagreb index gives a decent connection to the security of direct dendrimers and also the stretched pharmacies and for processing the strain vitality of cyclo alkanes [17][18][19][20][21].…”

Section: Applications Of Nanostructure and Topological Indicesmentioning

confidence: 99%

Computing Zagreb Indices and Zagreb Polynomials for Symmetrical Nanotubes

2018

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Topological indices are numbers related to sub-atomic graphs to allow quantitative structure-movement/property/danger connections. These topological indices correspond to some specific physico-concoction properties such as breaking point, security, strain vitality of chemical compounds. The idea of topological indices were set up in compound graph hypothesis in view of vertex degrees. These indices are valuable in the investigation of mitigating exercises of specific Nanotubes and compound systems. In this paper, we discuss Zagreb types of indices and Zagreb polynomials for a few Nanotubes covered by cycles.

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Section: Applications Of Nanostructure and Topological Indicesmentioning

confidence: 99%

Computing Zagreb Indices and Zagreb Polynomials for Symmetrical Nanotubes

2018

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“…The ABC index provides a very good correlation for the stability of linear alkanes as well as the branched alkanes and for computing the strain energy of cyclo alkanes [17][18][19][20]. To correlate with certain physico-chemical properties, the GA index has much better predictive power than the predictive power of the Randic connectivity index [21][22][23].…”

Section: Applications Of Topological Indices and Motivationmentioning

confidence: 99%

Eccentricity Based Topological Indices of an Oxide Network

et al. 2018

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Graph theory has much great advances in the field of mathematical chemistry. Chemical graph theory has become very popular among researchers because of its wide applications in mathematical chemistry. The molecular topological descriptors are the numerical invariants of a molecular graph and are very useful for predicting their bioactivity. A great variety of such indices are studied and used in theoretical chemistry, pharmaceutical researchers, in drugs and in different other fields. In this article, we study the chemical graph of an oxide network and compute the total eccentricity, average eccentricity, eccentricity based Zagreb indices, atom-bond connectivity (ABC) index and geometric arithmetic index of an oxide network. Furthermore, we give analytically closed formulas of these indices which are helpful in studying the underlying topologies.

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“…Compound graph speculation has given researchers a variety of important gadgets (e.g., topological files). The Zagreb index is a topological descriptor that is related to a considerable measure of fabricated attributes of the particles, and has been discovered parallel to setting up the limit and Kovats constants of the particles [10]. The particle bond arranged hyper Zagreb index has a superior relationship with the security of direct dendrimers, besides the expanded medication stores and for setting up the strain criticalness of cycloalkanes [11][12][13][14][15].…”

Section: Applications Of Topological Indicesmentioning

confidence: 99%

Computing Topological Indices and Polynomials for Line Graphs

et al. 2018

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Abstract:A topological index is a number related to the atomic index that allows quantitative structure-action/property/toxicity connections. All the more vital topological indices correspond to certain physico-concoction properties like breaking point, solidness, strain vitality, and so forth, of synthetic mixes. The idea of the hyper Zagreb index, multiple Zagreb indices and Zagreb polynomials was set up in the substance diagram hypothesis in light of vertex degrees. These indices are valuable in the investigation of calming exercises of certain compound systems. In this paper, we computed the first and second Zagreb index, the hyper Zagreb index, multiple Zagreb indices and Zagreb polynomials of the line graph of wheel and ladder graphs by utilizing the idea of subdivision.

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Topological Characterization of Carbon Graphite and Crystal Cubic Carbon Structures

Cited by 124 publications

References 24 publications

Computing Zagreb Indices and Zagreb Polynomials for Symmetrical Nanotubes

Computing Zagreb Indices and Zagreb Polynomials for Symmetrical Nanotubes

Eccentricity Based Topological Indices of an Oxide Network

Computing Topological Indices and Polynomials for Line Graphs

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