Question: In which scenario is Dijkstra\'s algorithm NOT applicable?
Options:
When all edge weights are non-negative
When there are negative edge weights
When the graph is directed
When the graph is undirected
Correct Answer: When there are negative edge weights
Solution:
Dijkstra\'s algorithm cannot handle graphs with negative edge weights.
In which scenario is Dijkstra's algorithm NOT applicable?
Practice Questions
Q1
In which scenario is Dijkstra's algorithm NOT applicable?
When all edge weights are non-negative
When there are negative edge weights
When the graph is directed
When the graph is undirected
Questions & Step-by-Step Solutions
In which scenario is Dijkstra's algorithm NOT applicable?
Step 1: Understand what Dijkstra's algorithm is used for. It finds the shortest path in a graph.
Step 2: Identify the types of graphs Dijkstra's algorithm can work with. It works with graphs that have non-negative edge weights.
Step 3: Recognize what negative edge weights are. They are edges in the graph that reduce the total path cost.
Step 4: Realize that if a graph has negative edge weights, Dijkstra's algorithm may not give the correct shortest path.
Step 5: Conclude that Dijkstra's algorithm is NOT applicable in scenarios where there are negative edge weights in the graph.
Dijkstra's Algorithm – An algorithm used for finding the shortest paths between nodes in a graph, particularly for graphs with non-negative edge weights.
Graph Theory – The study of graphs, which are mathematical structures used to model pairwise relations between objects.
Edge Weights – Values assigned to edges in a graph that represent costs, distances, or other metrics for traversing from one node to another.
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