Mastering Graph Algorithms for Optimal Network Solutions

topic 13 n.w
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Explore the world of graphs in computer science with a focus on Minimum Spanning Trees, single-source shortest path algorithms, and various traversal techniques. Learn about key algorithms like Prim's and Kruskal's MST, Dijkstra's Algorithm, Bellman-Ford Algorithm, and more through visual aids and pseudocode examples.

  • Graph Algorithms
  • Network Solutions
  • Minimum Spanning Tree
  • Shortest Path
  • Algorithms

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Presentation Transcript


  1. Topic 13 Graphs 2

  2. Minimum Spanning Tree (MST)

  3. Applications Wikipedia.com mathworks.com

  4. Prims MST Algorithm

  5. Pseudocode

  6. Proof

  7. Kruskals MST Algorithm

  8. Single Source Shortest Path Algorithms (SSSP) Definition:

  9. Dijkstras Algorithm

  10. Sample graphs

  11. Dijkstras Algorithm S Q

  12. Pseudocode

  13. Bellman-Ford d(source, *) Parent Edge (u->v) Pass 1 Pass 2 Pass 3 N.W.C. Test

  14. Pseudocode

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