Practice Introduction Of The Floyd-warshall Algorithm (1.4)

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6 sample questions

Question 1.
What does the Floyd-Warshall algorithm solve?
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Think about the connections between all vertices.
Question 2.
Can the Floyd-Warshall algorithm work with negative weights?
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Consider how negative weights affect paths.
3Question 3.
What does the Floyd-Warshall algorithm accomplish?
- Finds single source paths
- Finds shortest paths between all vertex pairs
- Identifies negative cycles
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Reflect on what 'all-pairs' means.
4Question 4.
True or False: The Floyd-Warshall algorithm can handle graphs with negative cycles.
- True
- False
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Remember what defines a cycle in this context.
Question 5.
Consider a graph with negative edges but no cycles. Apply the Floyd-Warshall algorithm and outline your distance matrix updates.
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Start with a diagram.
Question 6.
Analyze the efficiency trade-offs between Floyd-Warshall and Dijkstra's algorithm for various types of graphs.
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Compare the number of edges vs vertices.

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