If a graph has negative weight edges, which algorithm should be used instead of
Practice Questions
Q1
If a graph has negative weight edges, which algorithm should be used instead of Dijkstra's?
Prim's algorithm
Kruskal's algorithm
Bellman-Ford algorithm
A* algorithm
Questions & Step-by-Step Solutions
If a graph has negative weight edges, which algorithm should be used instead of Dijkstra's?
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 weight edges, Dijkstra's algorithm may not work correctly.
Step 3: Learn about the Bellman-Ford algorithm, which is designed to handle graphs with negative weight edges.
Step 4: Remember that the Bellman-Ford algorithm can also detect negative weight cycles in the graph.
Graph Algorithms – Understanding different algorithms for finding the shortest path in graphs, particularly the limitations of Dijkstra's algorithm with negative weight edges.
Negative Weight Edges – Recognizing the implications of having edges with negative weights in a graph and how they affect the choice of algorithm.
Bellman-Ford Algorithm – An algorithm that can compute shortest paths from a single source vertex to all other vertices in a graph, even when negative weight edges are present.