Technische Universität Ilmenau

Large Networks & Random Graphs - Interactive curriculae of TU Ilmenau

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module properties module number 200439 - common information
module number200439
departmentDepartment of Mathematics and Natural Sciences
ID of group2417 (Combinatorics / Graph Theory)
module leaderProf. Dr. Yury Person
languageEnglish
term Sommersemester
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
Details reference subject
module nameLarge Networks & Random Graphs
examination number2400791
credit points5
SWS3 (2 V, 1 Ü, 0 P)
on-campus program (h)33.75
self-study (h)116.25
obligationobligatory 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
Details in degree program Bachelor Informatik 2013, Bachelor Informatik 2021, Master Technische Kybernetik und Systemtheorie 2021, Master Informatik 2021, Bachelor Mathematik 2021, Master Mathematik und Wirtschaftsmathematik 2022, Bachelor Data Science 2025
module nameLarge Networks & Random Graphs
examination number2400791
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
signup details for alternative examinations
maximum number of participants