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4 cards from this section. Quick, good the night before a test.
What is the primary purpose of Dijkstra's algorithm?
Think of how a navigator finds the quickest route.
What do we call the local choices made in greedy algorithms?
Consider what happens when you always pick the smallest option.
What does Dijkstra's algorithm primarily find?
Recall which vertex serves as the starting point.
True or False: Negative cycles can exist without negative edges.
Think about the costs involved in each cycle.
Create a directed graph with 5 vertices and establish both positive and negative weights. Identify if the graph contains a negative cycle, and apply Dijkstra’s algorithm to see how it handles paths.
Trace paths and calculate costs to either reveal a negative cycle or establish valid shortest paths.
Design an example illustrating how Dijkstra's algorithm efficiently manages a scenario without negative weights and compare the result when negative weights are added.
Keep track of which edges optimize paths best.
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