On the Hyper-Zagreb Index of Some Graph Binary Operations
Mohammed Saad Yahya Al-Sharafi
Department of Mathematics, Faculty of Education, Art and Science, Sheba Region University, Yemen.
Mahioub Mohammed Shubatah
Department of Mathematics, Faculty of Education, Art and Science, Sheba Region University, Yemen.
*Author to whom correspondence should be addressed.
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.
Keywords: Zagreb index, Hyper-Zagreb index, Forgotten index, graph operation.