The hyper-Zagreb index and some graph operations |
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| Authors: | Wei Gao Muhammad Kamran Jamil Mohammad Reza Farahani |
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| Affiliation: | 1.School of Information Science and Technology,Yunnan Normal University,Kunming,China;2.Department of Mathematics, Riphah Institute of Computing and Applied Sciences (RICAS),Riphah International University,Lahore,Pakistan;3.Department of Applied Mathematics of Iran University of Science and Technology (IUST),Narmak,Iran |
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| Abstract: | ![]()
Let G be a simple connected graph. The Hyper-Zagreb index is defined as (textit{HM}(G)=sum _{uvin E_{G}}(d_{G}(u)+d_{G}(v))^2). In this paper some exact expressions for the hyper-Zagreb index of graph operations containing cartesian product and join of n graphs, splice, link and chain of graphs will be presented. We also apply these results to some graphs to chemical and general interest, such as (C_4) nanotube, rectangular grid, prism, complete n-partite graph. |
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