Computation of Vertex-Edge Degree Based Topological Descriptors for Hex-Derived Networks

Abstract

A numeric number that represents the entire structure of a graph is defined to be a topological descriptor. Graph theory has been found to be a useful area of research in the direction of topological descriptors. The different physical and chemical properties of basic chemical compounds are related by main factors of topological descriptors. In the study of QSAR/QSPR, the vertex-edge topological descriptors are used to predict the bioactivity of chemical compound. The hex-derived networks are generated by hexagonal networks of dimension p, these networks have an assortment of valuable applications in computer science, medical science and engineering. Simonraj and George derived a new type of graphs, which is named a third type of hex-derived networks and this work carried out by H. Ali et al.[1], [2] with calculation of degreebased topological descriptors for these networks. In this paper, we compute the exact values of vertex-edge based topological descriptors for third type of hex-derived networks.INDEX TERMS hex-derived networks; topological descriptors, vertex-edge based index.