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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the Bellman-Ford algorithm do?
💡 Hint: Think about what you learned regarding path weights.
Question 2
Easy
What is the significance of detecting negative cycles in graphs?
💡 Hint: Consider the implications of endlessly reducing path lengths.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does the Bellman-Ford algorithm accommodate that Dijkstra's does not?
- Only positive weights
- Negative weights
- No weights
💡 Hint: Recall what types of edge weights each algorithm is suited for.
Question 2
True or False: The shortest path in a graph can include negative edge weights as long as there are no negative cycles.
- True
- False
💡 Hint: Think about the difference between weight types.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
You have a directed graph with vertices A, B, C, and D. The edges are A -> B (weight 2), A -> C (weight -1), B -> D (weight 3), and C -> D (weight 4). Use the Bellman-Ford algorithm to find the shortest paths from A to all other vertices.
💡 Hint: Follow through the iterations carefully, check each edge's weight for updates.
Question 2
Given a set of weights in a directed graph containing negative edges and no cycles, describe how you would apply the Bellman-Ford algorithm in terms of the expected outcomes of each iteration.
💡 Hint: Think about how each vertex assesses potential paths from its neighbors.
Challenge and get performance evaluation