Course for international guest/part time students

Faculty
Faculty of Science
Organization
TTK Department of Operations Research
Code
kombal1u0um17em
Title
Combinatorial algorithms 1 (l)
Usual semester
Autumn
Published semester
2026/27/1
ECTS
3
Language
en
Learning outcomes
Knowledge: getting familiar with the most important combinatorial algorithms Ability: to understand and use combinatorial algorithms Attitude: the need to extend the mathematical knowledge, to gain new analytic skills Autonomy and Responsibility: based on the gained knowledge in combinatorial algorithms, the students are able to decide which tools are the most suitable to solve applied problems
Course content
Traversal of graphs, MI-orderig, Nagamochi-Ibaraki algorithm, strongly connected graphs, sparse witnesses, ear decompositions. Karger's algorithm. Chordal graphs, simplicial order. Flow equivalent trees, Gomory-Hu tree. Tree-width, algorithms on graphs with small tree-width. Combinatorial rigidity. Degree-bounded orientation. Dynamic programming, minimum cost arborescence.
Assessment method
exam
Bibliography
lecture notes

Programmes of the course

Title (code) Lang. Level Mandatory Year ...
Alkalmazott matematikus MSc - Operációkutatás szakirány (TTK-ALKMAT-OPKUT-NMHU) hu 7 1/2
Alkalmazott matematikus MSc - Számítástudomány szakirány (TTK-ALKMAT-SZÁMTUD-NMHU) hu 7 1/2
Applied Mathematician (TTK-ALKMAT-NMEN) en 7 1/2
Applied Mathematician (TTK-ALKMAT-NMHU) hu 7 1/2
Erasmus Programme (TTK-ERASMUS-NXXX) en Mandatory
Mathematician (TTK-MATEMAT-NMEN) en 7 1/2
Mathematician (TTK-MATEMAT-NMHU) hu 7 1/2
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