# The general Zagreb index of lattice networks

## TL;DR

This paper investigates the general Zagreb index, a topological measure derived from graph structures, specifically applied to hexagonal and triangular lattice networks, highlighting its relevance in chemical property prediction.

## Contribution

It introduces the calculation of the general Zagreb index for specific lattice networks, expanding the understanding of topological indices in chemical graph theory.

## Key findings

- Derived formulas for the general Zagreb index of hexagonal lattices.
- Derived formulas for the general Zagreb index of triangular lattices.
- Highlights the chemical significance of degree-based topological indices.

## Abstract

A topological index is a real number which is derived from a network or a graph by mathematically that characterizes the whole of its structural properties. Recently, there are various topological indices that have been introduced in mathematical chemistry to predict the properties of molecular topology. Among, the degree based topological indices such as Zagreb indices, forgotten topological index, redefined Zagreb index, Randic index, general first Zagreb index, symmetric division deg index and hence so forth are most important, because of their chemical significance. In this work, we study the general Zagreb index of hexagonal and triangular lattice networks.