Which algorithm is more suitable for finding the shortest path in a graph with n
Practice Questions
Q1
Which algorithm is more suitable for finding the shortest path in a graph with negative weights?
Dijkstra's Algorithm
Bellman-Ford Algorithm
A* Search Algorithm
Floyd-Warshall Algorithm
Questions & Step-by-Step Solutions
Which algorithm is more suitable for finding the shortest path in a graph with negative weights?
Step 1: Understand what a graph is. A graph consists of nodes (or vertices) connected by edges.
Step 2: Know that a shortest path is the path between two nodes that has the least total weight (or cost).
Step 3: Recognize that some graphs can have negative weights on their edges, which means moving along those edges can reduce the total cost.
Step 4: Learn about different algorithms used to find the shortest path in graphs, such as Dijkstra's and Bellman-Ford.
Step 5: Understand that Dijkstra's algorithm does not work correctly with negative weights because it assumes that once a node's shortest path is found, it cannot be improved.
Step 6: Realize that the Bellman-Ford algorithm can handle negative weights and can also detect negative weight cycles (where you can keep reducing the path cost indefinitely).
Step 7: Conclude that the Bellman-Ford algorithm is the suitable choice for finding the shortest path in graphs with negative weights.
