Algorithms

B232 - Summer 23/24
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Algorithms - B4B33ALG

Student survey results
Credits 6
Semesters Winter
Completion Assessment + Examination
Language of teaching Czech
Extent of teaching 2P+2C
Annotation
In the course, the algorithms development is constructed with minimum dependency to programming language; nevertheless the lectures and seminars are based on Java. Basic data types a data structures, basic algorithms, recursive functions, abstract data types, stack, queues, trees, searching, sorting, special application algorithms, Dynamic programming. Students are able to design and construct non-trivial algorithms and to evaluate their effectivity.
Study targets
The goal of the course is to learn the ability to implemet various kinds of basic tasks of computer science. Main topics are sorting and searching algorithms and corresponding data stractures for these tasks. The emphasis is given to the algorithmical aspect of the tasks and efectivity of the practical solution.
Course outlines
1. Order of growth of functions, asymptotic complexity of an algorithm
2. Recursion, recurrence, Master theorem
3. Trees, binary trees, backracking
4. Queue, graph, Depth-first and Breadth-first search in a tree and in a general graph
5. Searching in arrays, binary search trees
6. AVL trees and B-trees
7. Sorting, Insert Sort, SelectionSort, Bubble Sort, QuickSort
8. Sorting, Merge Sort, Halda, Heap Sort
9. Sorting, Radix sort, Counting Sort, Bucket Sort
10. Hashing, open and chained tables, double hashing
11. Hashing, coalesced hashing, universal hashing
12. Dynamic programming, optimal solution structure, memoization, optimal BST
13. Dynamic programming, longest common subsequence, optimal matrich chain multiplication, knapsack problem
14. Sorting multidimensional data, realistic sorting algorithms performance
Exercises outlines
1. Introductory test, repeating of the ways of program construction in development environment, examples of functions and procedures, parameters, simple classes, assignment of semester task
2. One-dimensional array processing
3. Sorting and searching in 1D array algorithms
4. Multidimensional array processing algorithms
5. Text and string algorithms
6. Experimentation with space and complexity of algorithms
7. Sequential files
8. Implementation of abstract data types
9. Recursion and iteration
10. Linked lists, linearly-linked list
11. Tree construction, tree search
12. Test, consultation to semester task
13. Algorithms of linear algebra and geometry, mathematical analysis
14. Credit
Literature
[1] T. H. Cormen, C. E. Leiserson, R. L. Rivest, C. Stein: Introduction to Algorithms, 3rd ed., MIT Press, 2009,

[2] S. Dasgupta, C.H. Papadimitriou, and U.V. Vazirani: Algorithms, Mcgraw-Hill Higher Education, 2006,

[3] Robert Sedgewick: Algoritms in v C, parts 1-4, Addison-Wesley Professional; 3rd edition (1997)


Requirements
Programming 1