Which of the following algorithms can be used to find the shortest path in a gra

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Question: Which of the following algorithms can be used to find the shortest path in a graph with negative weights?

Options:

Correct Answer: Bellman-Ford algorithm

Solution:

The Bellman-Ford algorithm can handle graphs with negative weights and is used to find the shortest paths in such cases.

Which of the following algorithms can be used to find the shortest path in a graph with negative weights?

Which of the following algorithms can be used to find the shortest path in a graph with negative weights?

Step 1: Understand what a graph is. A graph is made up of nodes (or vertices) connected by edges.
Step 2: Learn about weights. In a graph, edges can have weights, which represent costs or distances. Some weights can be negative.
Step 3: Know that finding the shortest path means finding the least costly way to travel from one node to another.
Step 4: Realize that some algorithms work only with positive weights, but we need one that can handle negative weights.
Step 5: Identify the Bellman-Ford algorithm. This is a specific algorithm designed to find the shortest path in graphs, even when there are negative weights.
Step 6: Remember that the Bellman-Ford algorithm can also detect negative weight cycles, which are situations where you can keep reducing the path cost indefinitely.

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