Subject description - BE4M33PAL

Summary of Study | Summary of Branches | All Subject Groups | All Subjects | List of Roles | Explanatory Notes               Instructions
BE4M33PAL Advanced Algorithms
Roles:P, PS, PV Extent of teaching:2P+2C
Department:13133 Language of teaching:EN
Guarantors:Průša D. Completion:Z,ZK
Lecturers:Genyk-Berezovskyj M., Průša D. Credits:6
Tutors:Genyk-Berezovskyj M., Hollmann M., Průša D. Semester:Z

Web page:


Basic graph algorithms and graph representation. Combinatorial algorithms. Application of formal languages theory in computer science - pattern matching.

Study targets:

Fundamental overview and skills related to the topics of the course.

Course outlines:

Formal and informal analysis of the memory and time complexity of all data sructures and algorithms taught is an integral part of the course, it is not expicitely listed under particular topics.
1. Asymptotic complexity of algorithms. Graphs, their properties and memory representation.
2. Minimum spanning tree. Union-Find problem.
3. Euler paths. Directed graphs: connectivity, acyclic graphs.
4. Heaps. Fibonacci heap. Heaps performance comparison.
5. Dynamic data structures. Garbage collector.
6. Generating, enumeration aand isomorphism of data structures and combinatorial objects. Permutations, combinations, variations, trees.
7. Generating other combinatorial structures: k-element subsets, Gray code, non-isomorphic graphs.
8. Search in sequences - linear and quadratic interpolation. Median search.
9. Finite automata, implementation, automaton reduction.
10. Regular expressions and text search using regular expressions.
11. Approximate text search using finite automata, dictionary automata.
12. Search in higher dimensions, K-D trees, Quadtree.
13. Search trees: B a B+; 2-3-4 a R-B trees.
14. Search trees: Trie, suffix tree, splay tree.

Exercises outline:

Exercises and related homeworks are devoted mostly to implementation of lecture topics. Consequently, the themes of each exercise formally correspond to those of respective lecture.


R. Sedgewick: Algoritmy v C, SoftPress 2003,
T. H. Cormen, C. E. Leiserson, R. L. Rievest, C. Stein: Introduction to Algorithms, 2nd ed., MIT Press, 2001
B. Melichar: Jazyky a překlady, Praha , ČVUT 1996
J. E. Hopcroft, R. Motwani, J. D. Ullman: Introduction to Automata Theory, Languages, and Computation, 2nd ed., Addison-Wesley, 2001


Individual implementation of data types and algorithms discussed in the lectures is an important part of the exercises. Thus, capabilty of programmatic manipulation of linked data structures in some of the prevalent languages (C/C++/Java/...) is indispensable.


Directed and undirected graph, graph algorithm, priority queue, pattern matching,

Subject is included into these academic programs:

Program Branch Role Recommended semester
MEBIO3_2018 Image Processing PS 1
MEOI7_2018 Artificial Intelligence P 1
MEOI9_2018 Data Science P 1
MEOI8_2018 Bioinformatics P 1
MEOI4_2018 Computer Engineering P 1
MEOI3_2018 Computer Graphics P 1
MEOI2_2018 Cyber Security P 1
MEOI1_2018 Human-Computer Interaction P 1
MEOI6_2018 Software Engineering P 1
MEOI5_2018 Computer Vision and Image Processing P 1
MEBIO4_2018 Signal Processing PV 1
MEBIO2_2018 Medical Instrumentation PV 1
MEBIO1_2018 Bioinformatics PS 1

Page updated 25.2.2024 09:51:58, semester: Z/2023-4, Z/2024-5, L/2023-4, Send comments about the content to the Administrators of the Academic Programs Proposal and Realization: I. Halaška (K336), J. Novák (K336)