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Repository created for the course "Algorithm Design and Analysis" at the Wroclaw University of Science and Technology

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Algorithm-Design-and-Analysis

Repository created for the course "Algorithm Design and Analysis" at the Wroclaw University of Science and Technology.

During this course, 3 mini projects will be carried out.

The first project concerns various sorting algorithms, their construction, strengths and weaknesses and exemplary application.
In first project, we will implement such methods as:

  • quicksort sorting
  • sorting by merging
  • introspective sorting

Second project explores the practical implementation and benchmarking of graph algorithms using two fundamental representations: adjacency list and adjacency matrix. The main focus is on Dijkstra’s algorithm for finding shortest paths in weighted graphs with non-negative weights.

Second project includes:

  • Implementations of both undirected graph representations (adjacency list and adjacency matrix) in C++.
  • Dijkstra’s algorithm for both: all shortest paths from a single source, and the shortest path between two vertices, for each representation.
  • Automated benchmarking on randomly generated graphs of various sizes and densities, measuring performance across 100 runs for each configuration.
  • Comparative analysis of the results, highlighting how the data structure impacts the efficiency of shortest path algorithms, depending on graph size and density.
  • Test driver to visualize and verify correctness for small graphs.

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Repository created for the course "Algorithm Design and Analysis" at the Wroclaw University of Science and Technology

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