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What is the runtime complexity of Dijkstra's algorithm?
The runtime complexity of Dijkstra's algorithm is O(V2) with a binary heap or O(E V log V) with a Fibonacci heap, where V is the number of vertices and E is the number of edges in the graph.
What is the runtime complexity of Dijkstra's algorithm for finding the shortest path in a graph?
The runtime complexity of Dijkstra's algorithm for finding the shortest path in a graph is O(V2) with a simple implementation using an adjacency matrix, or O((V E) log V) with a more efficient implementation using a priority queue.
What is the space complexity of the Dijkstra algorithm?
The space complexity of the Dijkstra algorithm is O(V), where V is the number of vertices in the graph.
What is the runtime complexity of the Union Find algorithm?
The runtime complexity of the Union Find algorithm is O(log n) on average.
What is the runtime complexity of the mergesort algorithm?
The runtime complexity of the mergesort algorithm is O(n log n), where n is the number of elements in the input array.
What is the runtime complexity of Dijkstra's algorithm?
The runtime complexity of Dijkstra's algorithm is O(V2) with a binary heap or O(E V log V) with a Fibonacci heap, where V is the number of vertices and E is the number of edges in the graph.
What is the runtime complexity of Dijkstra's algorithm for finding the shortest path in a graph?
The runtime complexity of Dijkstra's algorithm for finding the shortest path in a graph is O(V2) with a simple implementation using an adjacency matrix, or O((V E) log V) with a more efficient implementation using a priority queue.
What is the space complexity of the Dijkstra algorithm?
The space complexity of the Dijkstra algorithm is O(V), where V is the number of vertices in the graph.
What is the time complexity of Dijkstra's algorithm?
Dijkstra's original algorithm (published in 1959) has a time-complexity of O(N*N), where N is the number of nodes.
What is the runtime complexity of the Union Find algorithm?
The runtime complexity of the Union Find algorithm is O(log n) on average.
What is the runtime complexity of the mergesort algorithm?
The runtime complexity of the mergesort algorithm is O(n log n), where n is the number of elements in the input array.
What is the runtime complexity of the heap sort algorithm?
The runtime complexity of the heap sort algorithm is O(n log n), where n is the number of elements in the input array.
What is the runtime complexity of the bucket sort algorithm?
The runtime complexity of the bucket sort algorithm is O(nk), where n is the number of elements to be sorted and k is the number of buckets used.
How does the time complexity of an algorithm with a runtime of O(log n) compare to that of an algorithm with a runtime of O(n)?
An algorithm with a runtime of O(log n) has a faster time complexity compared to an algorithm with a runtime of O(n). This means that as the input size (n) increases, the algorithm with O(log n) will have a more efficient performance than the one with O(n).
What is the runtime of Dijkstra's algorithm for finding the shortest path in a graph?
The runtime of Dijkstra's algorithm for finding the shortest path in a graph is O(V2) with a simple implementation using an adjacency matrix, or O((V E) log V) with a more efficient implementation using a priority queue.
What is the time complexity of Dijkstra's algorithm when using a priority queue data structure?
The time complexity of Dijkstra's algorithm with a priority queue data structure is O((V E) log V), where V is the number of vertices and E is the number of edges in the graph.
What is the running time complexity of the algorithm used in this program?
The running time complexity of an algorithm is a measure of how the runtime of the algorithm grows as the input size increases. It is typically denoted using Big O notation. For example, an algorithm with a running time complexity of O(n) means that the runtime grows linearly with the input size.
