Article
Vertex PIv Topological Index of Titania Carbon Nanotubes TiO2(m,n)
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Abstract
A topological index of a graph G is a numeric quantity related to G which is invariant under automorphisms of G. The Padmakar-Ivan (PI) index of a graph G is defined as PI(G) = Σe=uv∈E(G) [nu + nv], where nu is the number of edges of G lying closer to v than u, analogously nv. In this paper, we compute the vertex PI index of Titania carbon Nanotubes TiO2[m,n].
Keywords
Molecular graph, degree of vertex, eccentricity of vertex, PI index, Titanian carbon Nanotube, 05C05, 92E10
Citation
Farahani, M. R., Jamil, M. K., & Imran, M. (2016). Vertex piv topological index of titania carbon nanotubes TiO2(m,n). Applied Mathematics and Nonlinear Sciences, 1(1), 175–182. https://doi.org/10.21042/AMNS.2016.1.00013
M. R. Farahani, M. K. Jamil and M. Imran, “Vertex piv topological index of titania carbon nanotubes TiO2(m,n),” Applied Mathematics and Nonlinear Sciences, vol. 1, no. 1, pp. 175–182, 2016, doi: 10.21042/AMNS.2016.1.00013.
Farahani MR, Jamil MK, Imran M. Vertex piv topological index of titania carbon nanotubes TiO2(m,n). Applied Mathematics and Nonlinear Sciences. 2016;1(1):175–182. doi:10.21042/AMNS.2016.1.00013.
Farahani, M. R., Jamil, M. K. and Imran, M. (2016), ‘Vertex piv topological index of titania carbon nanotubes TiO2(m,n)’, Applied Mathematics and Nonlinear Sciences, 1(1), pp. 175–182. Available at: https://doi.org/10.21042/AMNS.2016.1.00013.
Farahani, Mohammad Reza, et al. “Vertex Piv Topological Index of Titania Carbon Nanotubes TiO2(m,n).” Applied Mathematics and Nonlinear Sciences, vol. 1, no. 1, 2016, pp. 175–182. https://doi.org/10.21042/AMNS.2016.1.00013.
Farahani, Mohammad Reza, Muhammad Kamran Jamil, and Muhammad Imran. “Vertex Piv Topological Index of Titania Carbon Nanotubes TiO2(m,n).” Applied Mathematics and Nonlinear Sciences 1, no. 1 (2016): 175–182. https://doi.org/10.21042/AMNS.2016.1.00013.
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