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Course, academic year 2024/2025
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Algorithms for Specific Graph Classes - NDMI077
Title: Algoritmy pro specifické třídy grafů
Guaranteed by: Department of Applied Mathematics (32-KAM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2024
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: English, Czech
Teaching methods: full-time
Guarantor: doc. RNDr. Jiří Fiala, Ph.D.
Teacher(s): doc. RNDr. Jiří Fiala, Ph.D.
Class: Informatika Mgr. - volitelný
Classification: Informatics > Discrete Mathematics
Annotation -
Special course for advanced undergraduate and graduate students devoted to algorithm design for restricted graph classes.
Last update: Macharová Dana, JUDr. (14.10.2008)
Literature -
  • Diestel, R.: Graph Theory, graduate texts in mathematics, vol. 173., Springer Verlag, May 1997.
  • Kloks, T. Treewidth: Computations and approximations, no. 842 in Lecture Notes in Computer Science, Springer Verlag, 1994.
  • Časopisecká literatura podle specifikace přednášejícího.

Last update: Fiala Jiří, doc. RNDr., Ph.D. (04.02.2025)
Syllabus -

This course focuses on the design of efficient algorithms for specific classes of graphs, for problems that are NP-hard in general. Namely, for graphs of different widths (tree decompositions - Courcelle's theorem, clique decompositions), of bounded degrees (Luks' isomorphism test), or with a given representation (intersection graphs of intervals, circles and other geometric objects).

The course is taught in the summer semester once every two years (alternates with NDMI059 - Graph Minors and Tree Decompositions).

Last update: Fiala Jiří, doc. RNDr., Ph.D. (04.02.2025)
 
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