Efficient Text Pattern Matching

Course guarantor:

Jan Holub

Lecturer:

Jan Holub

Tutor:

Jan Holub

Supervisor:

Department of Theoretical Computer Science

Synopsis:

Students get knowledge of efficient algorithms for text pattern matching. They learn to use so called succinct data structures that are efficient in both access time and memory complexity. They will be able to use the knowledge in design of applications that utilize pattern matching.

Requirements:

Knowledge of basic data structures, fundamentals of computer programming, and theory of finite automata.

Syllabus of lectures:

1. Introduction, basic definitions, border array.

2. Text full index: Suffix array.

3. Text full index: Suffix tree, LCP construction.

4. Text full index: Factor, suffix automata, on-line construction.

5. Exact pattern matching algorithms.

6. FFT in pattern matching.

7. Succinct data structure: rank & select.

8. Succinct data structure: wavelet tree.

9. FM-Index.

10. Dictionary representation, spell checking.

11. Approximate pattern matching.

12. (2) Pattern matching in bioinformatics.

Syllabus of tutorials:

1. Basic definitions.

2. Text full index

3. Exact pattern matching algorithms.

4. FFT in pattern matching.

5. Succinct data structure

6. FM-Index, approximate pattern matching.

Study Objective:

The pattern matching is a key task in most applications. Its importance is increasing with enlargement of the mass of information collected. Efficient algorithms and data structures for pattern matching are therefore crucial in information processing, but also in other fields like security (e.g., intrusion detection, virus scans). This module provides an extensive overview of such algorithms and data structures.

Study materials:

1. Smyth, W. F. : Computing Patterns in Strings. Addison Wesley, 2003. ISBN 0201398397.

2. Crochemore, M. - Rytter, W. : Jewels of Stringology. World Scientific Publishing Company, 2003. ISBN 9810248970.

3. Navarro, G. - Raffinot, M. : Flexible Pattern Matching in Strings. Cambridge University Press, 2008. ISBN 0521039932.

4. Crochemore, M. - Hancart, C. - Lecroq, T. : Algorithms on Strings. Cambridge University Press, 2007. ISBN 0521848997.

Note:

Time-table for winter semester 2024/2025:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon	roomTH:A-s135 Holub J. 09:15–10:45 (lecture parallel1) Thákurova 7 (budova FSv)
Tue	roomTH:A-1242 Holub J. 09:15–10:45 ODD WEEK (lecture parallel1 parallel nr.101) Thákurova 7 (budova FSv) roomTH:A-1242 Holub J. 09:15–10:45 EVEN WEEK (lecture parallel1 parallel nr.102) Thákurova 7 (budova FSv)
Wed
Thu
Fri

Time-table for summer semester 2024/2025:

Time-table is not available yet

The course is a part of the following study plans:

• Master specialization Software Engineering, in English, 2021 (elective course)
• Master specialization Computer Security, in English, 2021 (elective course)
• Master specialization Computer Systems and Networks, in English, 2021 (elective course)
• Master specialization Design and Programming of Embedded Systems, in English, 2021 (elective course)
• Master specialization Computer Science, in English, 2021 (PS, elective course)
• Study plan for Ukrainian refugees (elective course)
• Master Specialization Digital Business Engineering, 2023 (elective course)
• Master Programme Informatics, unspecified Specialization, in English, 2021 (elective course)
• Master specialization Computer Science, in English, 2024 (PS, elective course)