Shaping Operations to Attack Robust Terror Networks

Security organizations often attempt to disrupt terror or insurgent networks by targeting "high value targets" (HVT\´s). However, there have been numerous examples that illustrate how such networks are able to quickly re-generate leadership after such an operation. Here, we introduce the notion of a "shaping" operation in which the terrorist network is first targeted for the purpose of reducing its leadership re-generation ability before targeting HVT\´s. We look to conduct shaping by maximizing the network-wide degree centrality through node removal. We formally define this problem and prove solving it is NP-Complete. We introduce a mixed integer-linear program that solves this problem exactly as well as a greedy heuristic for more practical use. We implement the greedy heuristic and found in examining five real-world terrorist networks that removing only 12% of nodes can increase the network-wide centrality between 17% and 45%.