28.2.1 - Introduction to Negative Edges
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Practice Questions
Test your understanding with targeted questions
What is a shortest path in graph theory?
💡 Hint: Think of it as the quickest route.
What happens if a graph contains negative cycles?
💡 Hint: Consider how looping through a negative edge affects path weight.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the main issue with Dijkstra's algorithm when dealing with negative edge weights?
💡 Hint: Think about the assumptions made when paths are completed.
True or False: All prefixes of a shortest path must also be the shortest path.
💡 Hint: Reflect on the characteristics of minimizing distance.
1 more question available
Challenge Problems
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Create a graph demonstrating the calculations of distances using the Bellman-Ford algorithm, detailing each iteration and resulting distances.
💡 Hint: 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.
💡 Hint: Consider how completing a circle with negative weights behaves over time.
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