One of the most important research topics about complex networks is examination of their vulnerability. Therefore, there are many studies in the literature about analyzing the robustness and reliability of networks using graph theoretical parameters. Among these parameters, the centrality parameters play an important role.The closeness parameters and its derivatives are widely discussed. In this study, the closeness parameter and the more sensitive parameter residual closeness which is based on

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... closeness parameter have been considered.Furthermore, the closeness and residual closeness of banana tree structure have been calculated.