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Investigative Data Mining: Mathematical Models for Analyzing, Visualizing and Destabilizing Terrorist Networks

von Nasrullah Memon

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In spite of low connectedness, however, the nodes of this network

are relatively close. The average closeness of nodes is 0.35. Betweenness as stated above is another important measure in SNA and it indicates a node’s importance for communication among other nodes. The average betweenness of this network is 0.032, indicating relatively high average redundancy. However the betweenness of 40 nodes is in fact less than 1% and only 6 nodes have betweenness higher than 10%. These 6 nodes are critical for information flow, especially one with betweenness of almost 0.589, meaning that almost 60% of communication paths among other nodes pass through this central node. The node represents Mohamed Atta (node # 33); the leading organizer of the attack whose central position in the network is confirmed by other centrality indicators as well.

Distribution of degrees of nodes (see Section 3.4.1) is particularly interesting. Degrees of nodes are exponentially distributed: the degree of most of the nodes is small, while few nodes have high degree (see Figure 3.5 and Figure 3.6).

In spite of the low connectedness, however, nodes of this network are relatively close. [...] the average closeness [EN 5] of nodes is 0,35. Betweenness [FN 6] is another important measure in social network analysis and it indicates a node’s importance for communication among other nodes. The average betweenness of this network is 0,032, indicating relatively high average redundancy. However, betweenness of forty nodes is in fact less than 1 %, and only six nodes have betweenness higher than 10 %. These six nodes are obviously critical for information flow, especially the one with betweenness of almost 60 %, meaning that almost 60 % of communication paths among other nodes pass through this central node. This node represents Mohamed Atta, the leading organiser of the attack whose central position in the network is confirmed by other centrality indicators as well.

[...]

Distribution of degrees of nodes is particularly interesting. Degrees of nodes are exponentially distributed: the degree of most nodes is small, while only few nodes have high degree (Fig. 6).

 Anmerkungen There is no reference to the source. Note, that at the beginning of chapter 3 on page 93, there is a footnote commenting the title of chaper 3, which says: FN 13: The parts of this chapter are already published in (Memon N, Henrik, L. L. 2006a, 2006b, 2006c, 2006d) However, the source Penzar et al. (2005) has been published before any of those publications. Sichter (Hindemith), Bummelchen

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