THE EDGE-PADMAKAR-IVAN INDEX OF THE TITANIA NANOTUBES TiO2(m,n)Abstract
Let G(V,E) be a simple connected graph. For an edge e=uv, mu(e) is the number of edges lying closer to the vertex u than v, analogously define mv(e). The edge version of PI index of a graph G is defined as .Nano-structured TiO2 has been widely used in various applications such as biosensors, solar cells and biomaterials. Synthesis of nano-structured Titanium dioxide (TiO2) such as Nanotubes, Nano-wires and nano-fibers has raised interest lately due to their high surface to volume ratio and the ability of provoke a greater degree of biological plasticity compared to conventional microstructures. Nano-structured TiO2, has been widely used in various applications such as biosensors, solar cells, photocatalysis, phoelectrolysis and biomaterials. In this paper, we compute the edge-PI index of Titania Nanotubes TiO2.
J. Zheng, M. R. Farahani, M. K. Jamil, M. K. Siddiqui and X. Zhang*
School of Information Science and Engineering, Chengdu University, Chengdu, China.
08 June, 2017
10 August, 2017
29 August, 2017
01 March, 2018