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Social Network Analysis - Lecture 11 - * Dr. Stefan Siersdorfer 1 * Figures and Examples in Slides from Easley and Kleinberg 2010

Social Network Analysis - Lecture 11 - * Dr. Stefan Siersdorfer 1 * Figures and Examples in Slides from Easley and Kleinberg 2010

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Page 1: Social Network Analysis - Lecture 11 - * Dr. Stefan Siersdorfer 1 * Figures and Examples in Slides from Easley and Kleinberg 2010

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Social Network Analysis- Lecture 11 - *

Dr. Stefan Siersdorfer

* Figures and Examples in Slides from Easley and Kleinberg 2010

Page 2: Social Network Analysis - Lecture 11 - * Dr. Stefan Siersdorfer 1 * Figures and Examples in Slides from Easley and Kleinberg 2010

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Milgram Experiment: Results

Page 3: Social Network Analysis - Lecture 11 - * Dr. Stefan Siersdorfer 1 * Figures and Examples in Slides from Easley and Kleinberg 2010

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Small Wold: MS Instant Messenger

Page 4: Social Network Analysis - Lecture 11 - * Dr. Stefan Siersdorfer 1 * Figures and Examples in Slides from Easley and Kleinberg 2010

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Watts-Strogatz Model (1)

Page 5: Social Network Analysis - Lecture 11 - * Dr. Stefan Siersdorfer 1 * Figures and Examples in Slides from Easley and Kleinberg 2010

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Watts-Strogatz Model (2)

Page 6: Social Network Analysis - Lecture 11 - * Dr. Stefan Siersdorfer 1 * Figures and Examples in Slides from Easley and Kleinberg 2010

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Decentralized Search

Page 7: Social Network Analysis - Lecture 11 - * Dr. Stefan Siersdorfer 1 * Figures and Examples in Slides from Easley and Kleinberg 2010

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Modelling Decentralized Search• Idea: probability of random edge beteen

nodes v and w decay with distance: ~ d(v,w)-q

Page 8: Social Network Analysis - Lecture 11 - * Dr. Stefan Siersdorfer 1 * Figures and Examples in Slides from Easley and Kleinberg 2010

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What‘s the best q for decentralized search?

Page 9: Social Network Analysis - Lecture 11 - * Dr. Stefan Siersdorfer 1 * Figures and Examples in Slides from Easley and Kleinberg 2010

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Spatial Distribution of LiveJournal Users

Page 10: Social Network Analysis - Lecture 11 - * Dr. Stefan Siersdorfer 1 * Figures and Examples in Slides from Easley and Kleinberg 2010

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Optimal Exponent: LiveJournal Experiment