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2 cards from this section. Quick, good the night before a test.
What is the primary purpose of the Bellman-Ford algorithm?
Consider the situations where Dijkstra's algorithm fails.
Define negative cycles in the context of graphs.
Think of paths that can reduce distance continuously.
What is the main restriction of the Bellman-Ford algorithm?
Review the importance of negative cycles in graphs.
True or False? The Dijkstra's algorithm can be applied to graphs with negative weights.
Think about the assumptions each algorithm makes.
Given a graph with vertices and edges including both negative and positive weights, illustrate the processes of the Bellman-Ford algorithm showing each iteration's distance updates until stabilization.
Be methodical and label each vertex clearly to track distances.
Consider a graph that includes a negative cycle. Describe how Bellman-Ford would behave and the ultimate impact this has on finding the shortest paths.
Reflect on the definition of shortest paths in relation to negative cycles.
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