Before revision:  Finally , this paper compares ANF with eight representative existing metrics, showing that each metric has its own characteristics  in measuring network robustness and hence they are not equivalent. Moreover, by focusing our comparisons on the scenarios in which network topologies change while preserving the same numbers of nodes and links, some specific observations on robustness metrics are reported.
After revision:  Finally , this paper compares ANF with eight representative existing metrics, showing that each metric has its own characteristics in measuring network robustness and it is recommended to apply several metrics together to gain a comprehensive view. Finally, by experimenting on the scenarios in which network topologies change while preserving the same numbers of nodes and links, some specific observations on robustness metrics are reported.