On Zagreb Indices of Honeycomb Networks

N. K. Raut

Abstract: The First and Second Zagreb Indices in Graph Theory: The first and second Zagreb indices are important degree-based topological indices used in graph theory. They are defined as follows: First Zagreb Index (M1): $M_1\left(G\right)=\sum _{uv\in E\left(G\right)}(d_u+d_v)$ Second Zagreb Index (M2): $M_2\left(G\right)=\sum _{uv\in E\left(G\right)}(d_u\times d_v)$ In this paper, we explore several degree-reverse Revan reduced reverse leap eccentricity-based first, second, third, fourth, and fifth Zagreb indices of honeycomb networks. Additionally, we investigate the degree-based Zagreb indices of the line graph of the subdivision graph of honeycomb networks.

Keywords: Degree, honeycomb network, leap degree, line graph, Revan degree, reverse degree, Zagreb indices