Computation of Certain Topological Indices of Nanotubes Covered by &lt;I&gt;C&lt;/I&gt;&lt;SUB&gt;5&lt;/SUB&gt; and &lt;I&gt;C&lt;/I&gt;&lt;SUB&gt;7&lt;/SUB&gt;

Hayat, Sakander; Imran, Muhammad

doi:10.1166/jctn.2015.3761

Cited by 67 publications

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“…Imran et al studied various degree-based topological indices for various networks like silicates, hexagonal, honeycomb, and oxide in [12]. Nowadays, there is an extensive research activity on ABC and GA indices and their variants; for further study of topological indices of various graphs and chemical structures, see [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28].…”

Section: Resultsmentioning

confidence: 99%

On molecular topological properties of hex‐derived networks

Imran

Baig

Ali

2016

Journal of Chemometrics

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Topological indices are numerical parameters of a molecular graph, which characterize its topology and are usually graph invariant. In quantitative structure–activity relationship/quantitative structure–property relationship study, physico‐chemical properties and topological indices such as Randić, atom–bond connectivity (ABC), and geometric–arithmetic (GA) index are used to predict the bioactivity of chemical compounds. Graph theory has found a considerable use in this area of research. In this paper, we study hex‐derived networks HDN1(n) and HDN2(n), which are generated by hexagonal network of dimension n and derive analytical closed results of general Randić index Rα(G) for different values of α, for these networks of dimension n. We also compute the general first Zagreb, ABC, GA, ABC4, and GA5 indices for these hex‐derived networks for the first time and give closed formulae of these degree‐based indices for hex‐derived networks. Copyright © 2016 John Wiley & Sons, Ltd.

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Section: Resultsmentioning

confidence: 99%

On molecular topological properties of hex‐derived networks

Imran

Baig

Ali

2016

Journal of Chemometrics

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“…and indices for some families of nanostar dendrimers and polyphenylene dendrimers are discussed in [20,21,24]. For a detailed description, their properties and bounds of the molecular topological indices of various classes of graph, see [24][25][26][27][28][29][30][31][32]. In this paper, we give an explicit formula of the and indices for certain nanostar dendrimers, namely PAMAM, tetrathiafulvalene and POPAM dendrimers.…”

Section: Resultsmentioning

confidence: 99%

On Topological Indices of Certain Families of Nanostar Dendrimers

et al. 2016

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Abstract:A topological index of graph G is a numerical parameter related to G which characterizes its molecular topology and is usually graph invariant. In the field of quantitative structure-activity (QSAR)/quantitative structure-activity structure-property (QSPR) research, theoretical properties of the chemical compounds and their molecular topological indices such as the Randić connectivity index, atom-bond connectivity (ABC) index and geometric-arithmetic (GA) index are used to predict the bioactivity of different chemical compounds. A dendrimer is an artificially manufactured or synthesized molecule built up from the branched units called monomers. In this paper, the fourth version of ABC index and the fifth version of GA index of certain families of nanostar dendrimers are investigated. We derive the analytical closed formulas for these families of nanostar dendrimers. The obtained results can be of use in molecular data mining, particularly in researching the uniqueness of tested (hyper-branched) molecular graphs.

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“…Imran et al studied various degree based topological indices for various networks like silicates, hexagonal, honeycomb and oxide in [14]. For further study of topological indices of various graph families see, [2,9,10,12,13,15,18,[22][23][24][25]29,31,37]. …”

Section: Resultsmentioning

confidence: 99%

Computing topological indices of Sudoku graphs

Gao

Imran

Baig

et al. 2016

J. Appl. Math. Comput.

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In QSAR/QSPR study, physico-chemical properties and topological indices such as Randić, atom-bond connectivity (ABC) and geometric-arithmetic (G A) index are used to predict the bioactivity of chemical compounds. A topological index is actually designed by transforming a chemical structure into a numeric number. These topological indices correlate certain physico-chemical properties like boiling point, stability, strain energy etc. of chemical compounds. Graph theory has found a considerable use in this area of research. The topological indices of certain interconnection networks were studied recently by Imran et al. (Appl Math Comput 244:936-951, 2014). In this paper, we extend this study to n × n Sudoku graphs and derive analytical B Mohammad Reza Farahani

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Computation of Certain Topological Indices of Nanotubes Covered by <I>C</I><SUB>5</SUB> and <I>C</I><SUB>7</SUB>

Cited by 67 publications

References 0 publications

On molecular topological properties of hex‐derived networks

On molecular topological properties of hex‐derived networks

On Topological Indices of Certain Families of Nanostar Dendrimers

Computing topological indices of Sudoku graphs

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