Technische Universität Ilmenau

Large Networks & Random Graphs - Interactive curriculae of TU Ilmenau

The interactive curriculae provide information on the degree programmes offered by the TU Ilmenau.

Please refer to the respective study and examination rules and regulations for the legally binding curricula (Annex Curriculum).

You can find all details on planned lectures and classes in the course catalogue.

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module properties Large Networks & Random Graphs in degree program Master Informatik 2021
module number200439
examination number2400791
departmentDepartment of Mathematics and Natural Sciences
ID of group 2417 (Combinatorics / Graph Theory)
module leaderProf. Dr. Yury Person
term summer term only
languageEnglish
credit points5
on-campus program (h)34
self-study (h)116
obligationelective module
examoral examination performance, 30 minutes
details of the certificate
link to Moodle course
teacher

Person, Yury

signup details for alternative examinations
maximum number of participants
previous knowledge and experience

Stochastics (e.g. Diskrete Stochastik (200401) or Stochastik (200375),
Discrete Mathematics (e.g. Graphen & Algorithmen (200408))

learning outcome

Students are familiar with various models of random graphs, their potential applications as well as advantages and disadvantages. They can select a suitable model for an application problem, examine it methodologically and apply and develop algorithms for it. They are also able to read current literature in the context of scientific research at the time. They can present the results and conclusions and are able to discuss and reflect them.

content

Models of random graphs G(n,p), G(n,m), G(n,d) and their most important properties. Thresholds and expectation thresholds. Random geometric graphs and models for complex networks. Algorithms on random graphs.

media of instruction and technical requirements for education and examination in case of online participation

Moodle, slides or PC presentations, blackboard and worksheets

literature / references

B. Bollobás: Random Graphs, 2nd edition; Cambridge University Press, 2001.
A. Frieze, M. Karonski: Introduction to Random Graphs; Cambridge University Press, 2015.
A. Frieze, M. Karonski: Random Graphs and Networks: A First Course; Cambridge University Press, 2023.
S. Janson, T. Luczak, A. Rucinski: Random Graphs; Wiley, 2000.
Research papers.

evaluation of teaching