This work represents the latest in mathematical and computational techniques to assist in combating terrorist cells. Achieved by quantifying threats and the effectiveness of counterterrorism operations and strategies, contributors share theories and methodologies to generate and analyze terrorist networks and provide mathematical methods and practical algorithms for destabilizing adversaries. New developments include: A new centrality-like measure to screen networks for potential actors of interest; Detection of topological characteristics of these networks to understand structure; Measures based on efficiency of networks to identify key players; Theories to detect command structures of networks by detecting hidden hierarchies; A knowledge base of the terrorist attacks in / planned in the past, by spidering data. Results of command structure via new algorithms with SNA literature (N-Clique, K-Core, etc.) are compared. The best techniques are combined to assist intelligence agencies / law enforcement.