# On Topological Properties of Third type of Hex Derived Networks

## TL;DR

This paper explores the topological properties of a newly introduced class of chemical graph networks called third type of Hex derived networks, providing exact calculations of degree-based topological indices.

## Contribution

It introduces and analyzes the third type of Hex derived networks, deriving exact topological indices based on vertex degrees, expanding the understanding of chemical graph models.

## Key findings

- Exact topological indices for HDN3(r), THDN3(r), RHDN3(r) networks computed.
- Provides insights into the structural properties of these new network types.
- Enhances the mathematical tools for chemical graph theory analysis.

## Abstract

In chemical graph theory, a topological index is a numerical representation of a chemical network while a topological descriptor correlates certain physico-chemical characteristics of underlying chemical compounds besides its chemical representation. Graph plays an vital role in modeling and designing any chemical network. F. Simonraj et al. derived new third type of Hex derived networks [27]. In our work, we discuss the third type of hex derived networks HDN3(r), THDN3(r) and RHDN3(r) and computed exact results for topological indices which are based on degrees of end vertices.