What is the time complexity of Dijkstra's algorithm?
An example of an AI chatbot conversation about the complexity analysis 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.
Can you explain the difference between the two time complexities?
Sure! O(V^2) is the time complexity when using an array to store the vertices, while O(E + V log V) is achieved using a priority queue, which is more efficient for sparse graphs.
What factors affect the performance of Dijkstra's algorithm?
The performance is affected by the graph's density, the data structure used for the priority queue, and the number of vertices and edges.
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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