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Basic data structures a) list, queue, b) heap c) priority queues 4

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BSc examination topics (examples)

1. Algorithms complexity 2. Algorithm design paradigms 3. Basic data structures

a) list, queue, b) heap

c) priority queues 4. Trees

a) binary trees

b) balanced trees (e.g. AVL) c) B-trees

5. Sorting algorithms 6. Searching algorithms

7. Graph theory, colouring problems

8. Minimum spanning tree, greedy algorithms

9. Euler circuits and paths vs. Hamiltonian cycles and paths 10. Route problems, shortest path

11. Flows in networks

12. Deterministic and non-deterministic Turing machine 13. Regular expressions, finite automata, regular languages

14. Context free grammars, push down automata, context free languages 15. Nondeterministic finite automaton

16. Chomsky’ hierarchy

17. Methods of process synchronizations a) deadlock, starving

18. Interpolation and its applications

19. Solving linear equations and sets of equations

20. Solving non-linear equations and sets of equations, locating roots of equations 21. Numerical integration methods

22. Differences between high-level languages and assemblers 23. Interpretation vs. compilation

24. Properties of object-oriented programming 25. Colour models

26. Illumination models

27. Raster algorithms for line drawing. Aliasing and antialiasing 28. Spline functions

29. Algorithms of filling the area 30. Visible surface determination 31. Image filtering

32. Relative databases a) normal forms b) data structures 33. What is UML?

34. Software developing models

35. Goals and methods of software testing 36. Heuristic search methods

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