Computing degree based topological properties of third type of hex-derived networks

Abstract

In chemical graph theory, a topological index is a numerical representation of a chemical network, while a topological descriptor correlates certain physicochemical characteristics of underlying chemical compounds besides its chemical representation. The graph plays a vital role in modeling and designing any chemical network. Simonraj et al. derived a new type of graphs, which is named a third type of hex-derived networks. In our work, we discuss the third type of hex-derived networks HDN3(r), THDN3(r), RHDN3(r), CHDN3(r), and compute exact results for topological indices which are based on degrees of end vertices.