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If a graph has negative edge weights, which algorithm can be used instead of Dij
Practice Questions
Q1
If a graph has negative edge weights, which algorithm can be used instead of Dijkstra's algorithm?
Prim's Algorithm
Kruskal's Algorithm
Bellman-Ford Algorithm
Floyd-Warshall Algorithm
Questions & Step-by-Step Solutions
If a graph has negative edge weights, which algorithm can be used instead of Dijkstra's algorithm?
Steps
Concepts
Step 1: Understand that Dijkstra's algorithm is used to find the shortest path in a graph with non-negative edge weights.
Step 2: Recognize that if a graph has negative edge weights, Dijkstra's algorithm may not work correctly.
Step 3: Learn about the Bellman-Ford algorithm, which is designed to handle graphs with negative edge weights.
Step 4: Remember that the Bellman-Ford algorithm can also detect negative cycles in the graph.
Graph Algorithms
– Understanding different algorithms for finding the shortest path in graphs, particularly in the context of edge weights.
Negative Edge Weights
– Recognizing the implications of negative edge weights on the choice of algorithms for shortest path calculations.
Dijkstra's Algorithm Limitations
– Knowing that Dijkstra's algorithm cannot handle graphs with negative edge weights.
Bellman-Ford Algorithm
– Understanding the Bellman-Ford algorithm's ability to handle negative edge weights and its use case.
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