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2 cards from this section. Quick, good the night before a test.
What is a shortest path in graph theory?
Think of it as the quickest route.
What happens if a graph contains negative cycles?
Consider how looping through a negative edge affects path weight.
What is the main issue with Dijkstra's algorithm when dealing with negative edge weights?
Think about the assumptions made when paths are completed.
True or False: All prefixes of a shortest path must also be the shortest path.
Reflect on the characteristics of minimizing distance.
Create a graph demonstrating the calculations of distances using the Bellman-Ford algorithm, detailing each iteration and resulting distances.
Focus on changes after each complete pass through the edges.
Design a scenario where a negative cycle forces a path to have undefined shortest lengths, and explain the implications.
Consider how completing a circle with negative weights behaves over time.
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