doi: 10.17706/ijapm.2014.4.6.417-425
Revised Szeged Index and Revised Edge Szeged Index of Certain Special Molecular Graphs
,
Wei Gao
2
,
- 1 the Department of Editorial, Yunnan Normal University, Kunming 650092, China.
- 2 School of Information Science and Technology, Yunnan Normal University, Kunming 650500, China
Abstract
In theoretical chemistry, the revised Szeged index and revised Szeged edge index were introduced to measure the stability of alkanes and the strain energy of cycloalkanes. In this paper, by virtue of mathematical derivation, we determine the revised Szeged index and revised edge Szeged index of fan molecular graph, wheel molecular graph, gear fan molecular graph, gear wheel molecular graph, and their r-corona molecular graphs. These molecular structures are widely used in biology, medical science and pharmaceutical fields. At last, the normalized revised Szeged indexes of fan molecular graph, wheel molecular graph, gear fan molecular graph, gear wheel molecular graph, and their r-corona molecular graphs are given.
Keywords
- Chemical graph theory
- revised Szeged index
- revised edge Szeged index
- fan molecular graph
- wheel molecular graph
- gear fan molecular graph
- Gear wheel molecular graph
- r-corona molecular graph
How to Cite
Yun Gao, Wei Gao, and Li Liang, "Revised Szeged Index and Revised Edge Szeged Index of Certain Special Molecular Graphs," International Journal of Applied Physics and Mathematics, vol. 4, no. 6, pp. 417-425, 2014. https://doi.org/ 10.17706/ijapm.2014.4.6.417-425
Copyright & License
Copyright © 2014 by the authors. 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 (CC BY 4.0).