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Research Article Open access CC BY 4.0

On the Hyper-Zagreb Index of Some Graph Binary Operations

Mohammed Saad Yahya Al-Sharafi, Mahioub Mohammed Shubatah

Asian Research Journal of Mathematics · pp. 12–24 · Published 30 Mar 2020

10.9734/arjom/2020/v16i430183

Abstract

This study looked at Graph theory as it is an important part of mathematics. Topological indices are numerical parameters of a graph which describe its structure, they have many applications as tools for modeling chemical and other properties of molecules. In this paper, we presented some exact formulas of the Hyper-Zagreb index for some special graphs and some graph binary operations such disjunction G v H, symmetric difference G H, and tensor product G H of graphs.

Zagreb index Hyper-Zagreb index Forgotten index graph operation.

Cited by 4

On the Reformulated Second Zagreb Index of Graph Operations

Durbar Maji, Ganesh Ghorai, Yaé Ulrich Gaba · Journal of Chemistry · 2021

The Y-Index of Some Complement Graph Structures and Their Applications of Nanotubes and Nanotorus

Mohammed Alsharafi, Abdu Alameri, Yusuf Zeren · Journal of Mathematics · 2024

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