Subject description - B4M33PAL
Summary of Study |
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Explanatory Notes
Instructions
| B4M33PAL | Advanced algorithms | ||
|---|---|---|---|
| Roles: | PS, PV, P | Extent of teaching: | 2P+2C |
| Department: | 13133 | Language of teaching: | CS |
| Guarantors: | Průša D. | Completion: | Z,ZK |
| Lecturers: | Genyk-Berezovskyj M., Průša D. | Credits: | 6 |
| Tutors: | Drbohlav O., Genyk-Berezovskyj M., Hollmann M., Průša D. | Semester: | Z |
Web page:
https://cw.fel.cvut.cz/wiki/courses/B4M33PALAnotation:
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.Literature:
| 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 |
Requirements:
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.Keywords:
Directed and undirected graph, graph algorithm, priority queue, pattern matching, Subject is included into these academic programs:| Program | Branch | Role | Recommended semester |
| MPBIO1_2018 | Bioinformatics | PS | 1 |
| MPBIO3_2018 | Image processing | PS | 1 |
| MPBIO2_2018 | Medical Instrumentation | PV | 1 |
| MPBIO4_2018 | Signal processing | PV | 1 |
| MPOI1_2018 | Human-Computer Interaction | P | 1 |
| MPOI9_2018 | Data Science | P | 1 |
| MPOI8_2018 | Bioinformatics | P | 1 |
| MPOI7_2018 | Artificial Intelligence | P | 1 |
| MPOI6_2018 | Software Engineering | P | 1 |
| MPOI5_2018 | Computer Vision and Image Processing | P | 1 |
| MPOI4_2018 | Computer Engineering | P | 1 |
| MPOI3_2018 | Computer Graphics | P | 1 |
| MPOI2_2018 | Cyber Security | P | 1 |
| Page updated 13.10.2024 09:51:04, semester: L/2023-4, Z/2025-6, Z,L/2024-5, Send comments about the content to the Administrators of the Academic Programs | Proposal and Realization: I. Halaška (K336), J. Novák (K336) |