Robustness of the network topology is a key aspect in the design of computer networks. Residual closeness is a new graph-theoretic concept defined as a measure of network robustness due to the failure of individual ve...Robustness of the network topology is a key aspect in the design of computer networks. Residual closeness is a new graph-theoretic concept defined as a measure of network robustness due to the failure of individual vertices. We identify those graphs with maximum residual closeness among connected graphs with fixed connectivity, edge connectivity and bipartiteness, respectively.展开更多
基金supported by the National Natural Science Foundation of China(No.12071158).
文摘Robustness of the network topology is a key aspect in the design of computer networks. Residual closeness is a new graph-theoretic concept defined as a measure of network robustness due to the failure of individual vertices. We identify those graphs with maximum residual closeness among connected graphs with fixed connectivity, edge connectivity and bipartiteness, respectively.