What is the time complexity of Dijkstra's algorithm?
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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 connecting those vertices.
How does the choice of data structure affect the performance?
The choice of data structure significantly affects performance; using a binary heap for the priority queue can reduce the time complexity, making it more efficient for larger graphs.
Can Dijkstra's algorithm be used for negative weight edges?
No, Dijkstra's algorithm cannot handle negative weight edges. For graphs with negative weights, the Bellman-Ford algorithm is a better choice.
What are some real-world applications of Dijkstra's algorithm?
Dijkstra's algorithm is commonly used in GPS navigation systems, network routing protocols, and various pathfinding applications in games.
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