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3 cards from this section. Quick, good the night before a test.
Define the transitive closure in your own words.
Think of paths in a graph.
Explain what Warshall's algorithm does.
Consider how matrices represent paths.
What does Warshall's algorithm compute?
Recall the primary goal of the algorithm.
True or False: Warshall’s algorithm requires O(n²) time for updating each entry during matrix transformation.
Think about how the updates are structured.
Given a directed graph with nodes 1 to 4 and edges (1, 2), (2, 3), and (3, 4), determine the transitive closure using Warshall's algorithm.
Visualize each step of matrix updates to track connectivity.
Consider a directed graph with a cycle. How would Warshall's algorithm adapt to ensure all nodes in the cycle reflect their connectivity?
Identify the cycle and how its nodes interact as intermediates.
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