RESIDUAL CLOSENESS AND GENERALIZED CLOSENESS
In the last few years a new definition for closeness has been established because of the ability to measure not connected graphs and the possibility to create convenient formulas for calculations. Based on this definition a new, more sensitive measure for network vulnerability is created - residual closeness. The residual closeness utilizes closeness received after the removal of a link or a vertex and its links. In this article some formulas for easy calculation of residual closeness are given. The definition for closeness is generalized and its properties are explored.
residual closeness closeness connectivity graph vulnerability