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2 cards from this section. Quick, good the night before a test.
What does the Bellman-Ford algorithm do?
Think about what you learned regarding path weights.
What is the significance of detecting negative cycles in graphs?
Consider the implications of endlessly reducing path lengths.
What does the Bellman-Ford algorithm accommodate that Dijkstra's does not?
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.
Think about the difference between weight types.
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.
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.
Think about how each vertex assesses potential paths from its neighbors.
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