1.6 - Example to Illustrate Floyd-Warshall Algorithm
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Practice Questions
Test your understanding with targeted questions
What does the Floyd-Warshall algorithm compute?
💡 Hint: Think about which pairs are considered.
What happens when there are negative cycles in a graph?
💡 Hint: Consider the implications of getting lower costs.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary function of the Floyd-Warshall algorithm?
💡 Hint: Consider what kind of paths it is typically applied to.
True or False: The Floyd-Warshall algorithm can handle negative edge weights.
💡 Hint: Think about the types of weights involved in various edges.
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Challenge Problems
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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.
💡 Hint: 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.
💡 Hint: Think about how paths get calculated and where each vertex sits in their transitions.
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