28.2.4 - Characteristics of the Bellman-Ford Algorithm
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Practice Questions
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What does the Bellman-Ford algorithm do?
💡 Hint: Think about what you learned regarding path weights.
What is the significance of detecting negative cycles in graphs?
💡 Hint: Consider the implications of endlessly reducing path lengths.
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Interactive Quizzes
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What does the Bellman-Ford algorithm accommodate that Dijkstra's does not?
💡 Hint: Recall what types of edge weights each algorithm is suited for.
True or False: The shortest path in a graph can include negative edge weights as long as there are no negative cycles.
💡 Hint: Think about the difference between weight types.
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Challenge Problems
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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.
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.
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