Raphael Mario Steiner: Catalogue data in Spring Semester 2024 |
Name | Dr. Raphael Mario Steiner |
Address | Institut für Operations Research ETH Zürich, HG J 14.3 Rämistrasse 101 8092 Zürich SWITZERLAND |
Telephone | +41 44 632 58 42 |
raphaelmario.steiner@math.ethz.ch | |
Department | Computer Science |
Relationship | Lecturer |
Number | Title | ECTS | Hours | Lecturers | |||||||||||
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263-4509-00L | Complex Network Models | 5 credits | 2V + 2A | J. Lengler, R. M. Steiner | |||||||||||
Abstract | Complex network models are random graphs that feature one or several properties observed in real-world networks (e.g., social networks, internet graph, www). Depending on the application, different properties are relevant, and different complex network models are useful. This course gives an overview over some relevant models and the properties they do and do not cover. | ||||||||||||||
Learning objective | The students get familiar with a portfolio of network models, and they know their features and shortcomings. For a given application, they can identify relevant properties for this applications and can select an appropriate network model. | ||||||||||||||
Content | Network models: Erdös-Renyi random graphs, Chung-Lu graphs, configuration model, Kleinberg model, geometric inhomogeneous random graphs Properties: degree distribution, structure of giant and smaller components, clustering coefficient, small-world properties, community structures, weak ties | ||||||||||||||
Lecture notes | The script is available in moodle or at https://as.inf.ethz.ch/people/members/lenglerj/CompNetScript.pdf | ||||||||||||||
Literature | Latora, Nikosia, Russo: "Complex Networks: Principles, Methods and Applications" van der Hofstad: "Random Graphs and Complex Networks. Volume 1" | ||||||||||||||
Prerequisites / Notice | The students must be familiar with the basics of graph theory and of probability theory (e.g. linearity of expectation, inequalities of Markov, Chebyshev, Chernoff). | ||||||||||||||
Competencies |
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