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3 cards from this section. Quick, good the night before a test.
What characterizes the paths in a weighted graph?
Think about how weights can change the journey.
What happens to the shortest path if there is a negative cycle in the graph?
Consider how negative weights might play into the path calculation.
What is the main goal of the Floyd-Warshall algorithm?
Think about what the algorithm calculates across all vertices.
True or False: The Bellman-Ford algorithm can handle negative weights.
Consider how each of these algorithms is affected by negative weights.
Given a graph with vertices A, B, C, and D with edge weights defined as follows: A-B (4), A-C (1), B-D (1), C-D (2), calculate the shortest path length using the Floyd-Warshall algorithm.
Draw out the matrix and visualize the longest paths in each step for clarification.
Explain in detail how the algorithm adapts when it finds a negative edge weight, specifically in implementation.
Reflect on how the algorithm’s rules enforce checks for conditions in path optimizations.
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