“…Cascading failures can occur in many physical systems, such as in the Internet, electrical power grids, etc. A number of important aspects of cascading failures in complex networks have been discussed in the literature, including disturbances in power transmission systems, the origin of rare events, the effect of network growth, cascading failures triggered by intentional attacks, avalanche size distributions, and congestion instabilities [9][10][11][12]. Holme and Kim provided an in-depth analysis on the vertex/edge overload cascading breakdowns based on evolving networks, and suggest a method to avoid such avalanches [13].…”