28.1 - Design and Analysis of Algorithms, Chennai Mathematical Institute
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Practice Questions
Test your understanding with targeted questions
What does the Bellman-Ford algorithm specifically handle that Dijkstra's does not?
💡 Hint: Think about edge weights in graphs.
True or False: A shortest path can have loops.
💡 Hint: Recall the properties of shortest paths and loops.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the Bellman-Ford algorithm do?
💡 Hint: Consider the capabilities of both the Bellman-Ford and Dijkstra’s algorithms.
True or False: The Bellman-Ford algorithm can handle negative cycles.
💡 Hint: Think about the implications of negative cycles.
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Challenge Problems
Push your limits with advanced challenges
In a graph with vertices A, B, C, and D, where edges are weighted A->B(2), B->C(-3), A->C(4), and C->D(1). Determine the shortest path from A to D using the Bellman-Ford algorithm.
💡 Hint: Implement the updates as per Bellman-Ford, observing each iteration's effect.
Create your own graph with at least one negative cycle and explain in detail how it affects the path calculations when running Bellman-Ford.
💡 Hint: Draw the graph out and calculate distances after each iteration to see the cycle's effect.
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