Graphs and Algorithms: Exploring Minimum Spanning Trees and Shortest Path Algorithms
Dive into the world of graphs with a focus on Minimum Spanning Trees (MST) and Single Source Shortest Path (SSSP) algorithms. Learn about MST algorithms like Prim's and Kruskal's, delve into Dijkstra's Algorithm for SSSP, and understand the importance of using heaps in optimization. Explore applications, pseudocode, analysis, and proofs related to these fundamental graph concepts.
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Presentation Transcript
Topic 13 Graphs 2
Applications Wikipedia.com mathworks.com
Announcements Homework 7 is up Participation 6 is up Final in 2 weeks No office hours next Thursday
Single Source Shortest Path Algorithms (SSSP) Definition:
Dijkstras Algorithm Known Fringe
Bellman-Ford d(source, *) Parent Edge (u->v) Pass 1 Pass 2 Pass 3
Topological Sort Def:
SLIC System has a lot of dependences use Makefiles
