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3 cards from this section. Quick, good the night before a test.
What does the Floyd-Warshall algorithm compute?
Think about which pairs are considered.
What happens when there are negative cycles in a graph?
Consider the implications of getting lower costs.
What is the primary function of the Floyd-Warshall algorithm?
Consider what kind of paths it is typically applied to.
True or False: The Floyd-Warshall algorithm can handle negative edge weights.
Think about the types of weights involved in various edges.
Given a directed graph with the following edges: A -> B (weight 2), B -> C (weight 3), A -> C (weight 5), C -> B (weight -4). Determine the shortest paths between all pairs using the Floyd-Warshall algorithm.
Visualize the graph and iteratively apply the Floyd-Warshall updates.
Explain how the Floyd-Warshall algorithm can identify graphs with negative cycles, and outline an approach to modify the algorithm for cycle detection.
Think about how paths get calculated and where each vertex sits in their transitions.
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