The runtime complexity of the Dijkstra algorithm is O(V2) with a simple implementation using an adjacency matrix, or O(E V log V) with a more efficient implementation using a priority queue.
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.
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.
The space complexity of the Dijkstra algorithm is O(V), where V is the number of vertices in the graph.
The runtime complexity of the Union Find algorithm is O(log n) on average.
The runtime complexity of the mergesort algorithm is O(n log n), where n is the number of elements in the input array.
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.
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.
The space complexity of the Dijkstra algorithm is O(V), where V is the number of vertices in the graph.
Dijkstra's original algorithm (published in 1959) has a time-complexity of O(N*N), where N is the number of nodes.
The runtime complexity of the Union Find algorithm is O(log n) on average.
The runtime complexity of the mergesort algorithm is O(n log n), where n is the number of elements in the input array.
The runtime complexity of the heap sort algorithm is O(n log n), where n is the number of elements in the input array.
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.
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).
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.
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.
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.