Algorithms & Data Structures

The lecture presents fundamental material to the understanding of data structures. The object-oriented paradigm is used to demonstrate abstract data types. The main focus is put on algorithms handling operations of data structures.


Lecture contents
Data Structures Overview (4h): data types, data type system, object, data structure, linear data structure, tree, graph, evaluating efficiency and the O-notation. Data Types: built-in types, collections, indexed collections.
Linear Data Types (4h): singly-linked list, doubly-linked list, ring, stack, queue, priority queue.
Sorting Algorithms(6h): simple sorting (Insertion Sort, Selection Sort, Bubble Sort), advanced sorting (Quicksort, Merge Sort, Heap Sort, Shell Sort), Straight Radix Sort, Radix Exchenge Sort, Shell Sort.
Searching Algorithms (2h): linear searching, binary searching, interpolation searching, Fibonacci searching, hashing strategy, hashing functions and hash search methods.
Trees (6h): Binary Search Tree, Binary Tree Sort, trees with arbitrary degree, AVL Trees, balancing, rotations, digital trees, B-trees, BB-trees.
Recursion (2h): Divide-and-Conquere strategy, Hanoi Towers.
Graphs (6h): directed and undirected graphs, paths, loops, reachibility, implementation methods, adjacency matrix, linked adjacency lists,graph traversals, Depth-First traversals and Breadth-First traversals, weighted and unweighted graphs, positive-weighted shortest path problem (Dijkstra`s algorithm).




Tutorial contents
During exercises some typical problems of data structures are formulated , discussed and solved.


Laboratory contents
The laboratory consists of 3 simple tasks involving data structures. Classes employing single-linked lists, doubly-linked rings and binary search trees have to be designed, implemented and tested.


Similar Courses

1. M. A. Weiss: Data Structures and Problem Solving Using C++, Second Edition, Addison Wesley Longman Inc., 2000.


2. T. Budd: Data Structures in C++ Using the Standard Template Library, Addison Wesley Longman Inc., 1997.


3. S. Sengupta, C.Ph. Korobkin: C++, Object-Oriented Data Structures, Springer-Verlag, 1994.