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Journal of Chemistry
Volume 2016, Article ID 1053183, 7 pages
http://dx.doi.org/10.1155/2016/1053183
Research Article

Electron Energy Studying of Molecular Structures via Forgotten Topological Index Computation

1School of Information Science and Technology, Yunnan Normal University, Kunming 650500, China
2Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
3Department of Mathematics, Riphah Institute of Computing and Applied Sciences, Riphah International University, 14 Ali Road, Lahore, Pakistan
4Department of Applied Mathematics, Iran University of Science and Technology, Tehran 16844, Iran

Received 26 April 2016; Revised 9 July 2016; Accepted 26 July 2016

Academic Editor: Teodorico C. Ramalho

Copyright © 2016 Wei Gao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

It is found from the earlier studies that the structure-dependency of total -electron energy heavily relies on the sum of squares of the vertex degrees of the molecular graph. Hence, it provides a measure of the branching of the carbon-atom skeleton. In recent years, the sum of squares of the vertex degrees of the molecular graph has been defined as forgotten topological index which reflects the structure-dependency of total -electron energy and measures the physical-chemical properties of molecular structures. In this paper, in order to research the structure-dependency of total -electron energy , we present the forgotten topological index of some important molecular structures from mathematical standpoint. The formulations we obtained here use the approach of edge set dividing, and the conclusions can be applied in physics, chemical, material, and pharmaceutical engineering.