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Complex Network Models
Last Updated: 2026-06-03 00:14:09
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.
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
Resources
Lecture Notes
The script is available in moodle or athttps://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"
Learning Materials (Links)
- Main link
- webpage
General Information
- Language
- English
- Levels
- DR , MSC , WBZ
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- oral 25 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | Complex Network Models |
|
2 h weekly |
| independent project | Complex Network Models | No time listed | 2 h weekly |
Offered In
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Electives (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 14 of the required 26 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
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Doctorate Mathematics (More Information at: )
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Subject Specialisation (The list of courses (together with the allocated credit points) eligible for doctoral students is published each semester in the newsletter of the ZGSM.)
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Graduate School (Official website of the Zurich Graduate School in Mathematics: )
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