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ILCPA > ILCPA Volume 31 > First and Second Zagreb Polynomials of VC5C7[p,q]...
First and Second Zagreb Polynomials of VC<sub>5</sub>C<sub>7</sub>[p,q] and HC<sub>5</sub>C<sub>7</sub>[p,q]Nanotubes
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First and Second Zagreb Polynomials of VC5C7[p,q] and HC5C7[p,q]Nanotubes

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Abstract:

Let G = (V,E) be a simple connected graph. The sets of vertices and edges of G are denoted by V = V(G) and E = E(G), respectively. There exist many topological indices and connectivity indices in graph theory. The First and Second Zagreb indices were first introduced by Gutman and Trinajstić In1972. It is reported that these indices are useful in the study of anti-inflammatory activities of certain chemical instances, and in elsewhere. In this paper, we focus on the structure of ”G = VC5C7[p,q]”and ”H = HC5C7[p,q]” nanotubes and counting first Zagreb index Zg1(G) = ∑veVdv2 and Second Zagreb index Zg2(G) =∑e=uveE(G)(du·dv) of G and H, as well as First Zagreb polynomial Zg1(G,x ) =∑e=uveE(G)xdu+dv and Second Zagreb Polynomial Zg2(G,x) = ∑e=uveE(G)xdu·dv

Info:

Periodical:
International Letters of Chemistry, Physics and Astronomy (Volume 31)
Pages:
56-62
DOI:
https://doi.org/10.18052/www.scipress.com/ILCPA.31.56
Citation:
M. R. Farahani, "First and Second Zagreb Polynomials of VC5C7[p,q] and HC5C7[p,q]Nanotubes", International Letters of Chemistry, Physics and Astronomy, Vol. 31, pp. 56-62, 2014
Online since:
March 2014
Authors:
Mohammad Reza Farahani
Keywords:
Molecular Graph, Nanotubes, Zagreb Index, Zagreb Polynomial
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Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

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Cited By:

[1] J. Liu, C. Wang, S. Wang, B. Wei, "Zagreb Indices and Multiplicative Zagreb Indices of Eulerian Graphs", Bulletin of the Malaysian Mathematical Sciences Society, 2017

DOI: https://doi.org/10.1007/s40840-017-0463-2

[2] W. Gao, M. Farahani, "The hyper-zagreb index for an infinite family of nanostar dendrimer", Journal of Discrete Mathematical Sciences and Cryptography, Vol. 20, p. 515, 2017

DOI: https://doi.org/10.1080/09720529.2016.1220088

[3] W. Gao, M. Farahani, "The Zagreb topological indices for a type of Benzenoid systems jagged-rectangle", Journal of Interdisciplinary Mathematics, Vol. 20, p. 1341, 2017

DOI: https://doi.org/10.1080/09720502.2016.1232037