List of Tables

1.1 Adjacency Matrix of a Friendship Graph 5
1.2 Some Common Notations Used to Represent Networks Mathematically 6
1.3 UnDirected Matrix 7
1.4 Directed Matrix 7
1.5 3-Step Walks from Node 1 to Node 2 10
2.1 Star Graph Matrix 35
2.2 List of Geodesic Paths 37
2.3 Geodesic Path Calculation for Numerator of Agent_2 38
2.4 Adjacency Matrix for the Research Organization 48
2.5 Summary of the Centrality Measures 48
2.6 Comparisons of the Centrality Measures 50
2.7 Comparisons of the Centrality Measures 52
3.1 Comparison of Network Topologies 79
4.1 Stages of Social Link Motivation and Stages of Small-Group Development 125
5.1 Adjacency Matrix for Example Graph 136
5.2 Newman Grouping 136
5.3 CONCOR Grouping 136
5.4 External/Internal Link Analysis 140
8.1 Caleb Methodology Table 198
9.1 Unscaled Centrality Measures 209
9.2 Geodesic Path Calculation for Ellen, Bill, and Alan 214
B.1 Lab Exercise 1-Agent Node Class 241
B.2 Lab Exercise 1-Agent×Agent Adjacency Matrix 241
B.3 Health Organization-Agent Node Class 242
B.4 Health Organization-Agent×Agent Admin Advice 243
B.5 Health Organization-Agent×Agent Clinical Advice 249
B.6 Dolphin Agent Names 255
B.7 Dolphins Agent × Agent Network 257
B.8 Lab Exercise 5-Subgroup1 Agent×Agent Network 263
B.9 Lab Exercise 5 Agent Attributes 268
B.10 Lab Exercise 7-Agent×Location Network 268
B.11 Lab Exercise 7-Agent×Resource Network 269
B.12 Lab Exercise 7-Resource×Agent Network 269
B.13 Lab Exercise 7-Location×Location Network 269
B.14 Lab Exercise 7-Resource×Resource Network 270
B.15 Lab Exercise 9-Formal Social Network: Agent×Agent 270
B.16 Lab Exercise 9-Informal Social Network: Agent×Agent 271
B.17 Lab Exercise 9-Agent×Knowledge Network Indicating Which Agent Holds What Knowledge. 271
B.18 Lab Exercise 9-Agent×Task Network Indicating the Task Each Agent has been Assigned. 272
B.19 Lab Exercise 9-Knowledge×Task Network Showing What Knowledge is Required to Carry Out Which Tasks. 272