What is the time complexity of Dijkstra's algorithm?
An example of an AI chatbot conversation about the complexity of Dijkstra's algorithm.
What is the time complexity of Dijkstra's algorithm?
Dijkstra's algorithm has a time complexity of O(V^2) using a simple array, but it can be improved to O(E + V log V) with a priority queue.
What do V and E represent in this context?
In this context, V represents the number of vertices (or nodes) in the graph, and E represents the number of edges.
How does the choice of data structure affect the performance?
Using a priority queue, like a binary heap, significantly reduces the time complexity, making the algorithm more efficient for larger graphs.
Are there any limitations to Dijkstra's algorithm?
Yes, Dijkstra's algorithm cannot handle graphs with negative weight edges. For such cases, the Bellman-Ford algorithm is preferred.
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