Which algorithm can be used to find the shortest path in a graph with negative w
Practice Questions
Q1
Which algorithm can be used to find 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 can be used to find 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: Learn about weights. In a graph, edges can have weights, which represent costs or distances.
Step 3: Know that some graphs can have negative weights. This means that traveling along certain edges can reduce the total cost.
Step 4: Recognize that finding the shortest path in a graph is a common problem.
Step 5: Identify that some algorithms can find the shortest path, but not all can handle negative weights.
Step 6: Learn about the Bellman-Ford algorithm. This algorithm is specifically designed to find the shortest path in graphs with negative weights.
Step 7: Understand that the Bellman-Ford algorithm can also detect negative cycles, which are situations where you can keep reducing the path cost indefinitely.
