On V_e-Degree and E_v-Degree Based Topological Indices for the Series of Benzenoid Graphs

Abstract

Topological indices play a very important role in the study of structure of a chemical graph. There are many types of topological indices which describe quantitative properties of the structure of different graphs and molecular networks of chemical graphs. In the beginning of the study of topological indices, there were three different types of indices which were based on degree, distance and counting. M. Chellali et al. (“On Ve-Degrees and Ev-Degrees in Graphs,” Discrete Mathematics 340, no. 2 (2017): 31–8) introduced V_e- degree and E_v- degree based topological indices. This article is a contribution to the study of V_e-degree and E_v-degree based topological indices for series of concealed non-Kekulean benzenoid graph. In this article, we have calculated ten different types of topological indices which are based on V_e-degree and E_v-degree for the series of concealed non-Kekulean benzenoid graph.

Keywords:

• Ev-degree
• Topological Indices