Shortest Path and Minimum Spanning Tree Algorithms
Students will learn basic debugging techniques to identify and fix errors in their simple programs.
About This Topic
Students will learn basic debugging techniques to identify and fix errors in their simple programs.
Key Questions
- Trace Dijkstra's algorithm on a weighted directed graph, prove its correctness using the greedy-choice property, and explain why it fails when negative edge weights are present.
- Compare Dijkstra's algorithm and Bellman-Ford in terms of correctness guarantees, time complexity, and the graph properties that determine which should be used.
- Evaluate the trade-offs between Kruskal's and Prim's algorithms for computing minimum spanning trees, determining which is more efficient for sparse versus dense graphs and justifying the choice using complexity analysis.
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