What is the time complexity of common graph operations?
An example of an AI chatbot conversation about the complexity of graph operations.
What is the time complexity of common graph operations?
The time complexity varies by operation. For example, adding a vertex is O(1), while adding an edge is O(1) for adjacency lists and O(V) for adjacency matrices.
What about searching for a node?
Searching for a node in an unweighted graph using BFS or DFS is O(V + E), where V is vertices and E is edges.
And what about Dijkstra's algorithm?
Dijkstra's algorithm has a time complexity of O((V + E) log V) when using a priority queue.
Can you explain why the complexity differs between representations?
Yes! The representation affects how quickly you can access edges and vertices, impacting overall operation efficiency.
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