Zagreb Connection Numbers on Different Networks

Muhammad Mubashar\(^a\), Asad Zubair\(^b\), Muhammad Hussain\(^c\)

\(^a\)Department of Mathematics, COMSATS University Islamabad (CUI), Lahore, Pakistan.

\(^b\)Department of Mathematics, COMSATS University Islamabad (CUI), Lahore, Pakistan.

\(^c\)Department of Mathematics, COMSATS University Islamabad (CUI), Lahore, Pakistan.

Correspondence should be addressed to: mubashar.aziz19@gmail.com, zubair.45@gmail.com, mhmaths@gmail.com

Copyright © 2023 Muhammad Mubashar, Asad Zubair, Muhammad Hussain. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Published: Received: 20 April 2022; Accepted: 10 June 2023; Published Online: 17 July 2023.

Abstract

The first Zagreb index formulated in its approximate form for -electron energy in 1972 and second Zagreb index formulated in 1975 for branching of molecules. Some modification of these indices was proposed in three different ways naming as novel modification, connection indices and leap Zagreb indices. In this paper we proposed and calculated connection indices for Honey Comb Network and triangular benezoid structures. Furthermore as an extension of our work we also formulated connection indices for line graph of subdivision of Honey Comb and triangular benezoid networks.

Keywords:

Connection numbers, Honey Comb, Triangular benezoid, Line graph