What will happen if Dijkstra's algorithm is run on a graph with negative weight

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Question: What will happen if Dijkstra\'s algorithm is run on a graph with negative weight edges?

Options:

Correct Answer: It may produce incorrect results.

Solution:

Dijkstra\'s algorithm may produce incorrect results if there are negative weight edges in the graph.

What will happen if Dijkstra's algorithm is run on a graph with negative weight edges?

What will happen if Dijkstra's algorithm is run on a graph with negative weight edges?

Step 1: Understand what Dijkstra's algorithm does. It finds the shortest path from a starting node to all other nodes in a graph.
Step 2: Recognize that Dijkstra's algorithm assumes that once a node's shortest path is found, it will not change.
Step 3: Identify what negative weight edges are. These are edges that decrease the total path cost when traversed.
Step 4: Realize that if a graph has negative weight edges, the shortest path to a node can change after it has been processed by Dijkstra's algorithm.
Step 5: Conclude that because of this, Dijkstra's algorithm may give incorrect shortest path results when negative weight edges are present.

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