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What happens if Dijkstra's algorithm is applied to a graph with negative weight
Practice Questions
Q1
What happens if Dijkstra's algorithm is applied to a graph with negative weight edges?
It will still find the shortest path.
It may produce incorrect results.
It will not terminate.
It will find the longest path.
Questions & Step-by-Step Solutions
What happens if Dijkstra's algorithm is applied to a graph with negative weight edges?
Steps
Concepts
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: Know that Dijkstra's algorithm works by assuming that once it finds the shortest path to a node, that path will not change.
Step 3: Recognize that negative weight edges can create situations where a shorter path to a node can be found after it has already been processed.
Step 4: Realize that because of this, Dijkstra's algorithm may give incorrect shortest path results when negative weight edges are present.
Step 5: Conclude that Dijkstra's algorithm is not suitable for graphs with negative weight edges.
No concepts available.
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