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3 cards from this section. Quick, good the night before a test.
What is a weighted graph?
Think about how real-world costs can be represented on a graph.
Describe a real-world example of a single-source shortest path problem.
Consider transportation logistics.
What constitutes a weighted graph?
Consider how graph structures represent different factors.
True or False: The all-pairs shortest path problem finds paths only from one vertex.
Recall the definitions we discussed.
Design a logistical problem using a weighted graph and apply Dijkstra's algorithm to determine the most efficient route from a factory to multiple delivery points.
Map out your graph clearly! Focus on the starting point.
Critically evaluate how variations in edge weights (for example, introducing negative weights) could affect Dijkstra's algorithm's performance.
Reflect on what happens with negative costs.
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