dijkstra algorithm complexity analysis


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  • What is the complexity of Dijkstra adjacency matrix?

    For Dijkstra Algorithm using matrix representation, the time complexity is O(V^2).
    But for list representation, the time complexity is O((V+E)Log(V)).

  • What is the complexity of Dijkstra's algorithm?

    Assume the source vertex = .
    Time Complexity of Dijkstra's Algorithm is O ( V 2 ) but with min-priority queue it drops down to O ( V + E l o g V ) .

  • What is the complexity of the shortest path?

    Single-source shortest path is solved by the Bellman-Ford algorithm, with a time complexity of O(VE).
    All-pairs shortest path can be solved using Johnson's algorithm in O(EV + V2 log V) time.
    Additionally, there is the Floyd-Warshall algorithm, which solves it in O(V3): this is typically faster on dense graphs.

  • Dijkstra's algorithm is used to find the shortest path between the two mentioned vertices of a graph by applying the Greedy Algorithm as the basis of principle.
    For Example: Used to find the shortest between the destination to visit from your current location on a Google map.

The time complexity of dijkstra's algorithm can be reduced to O((V+E)logV) using adjacency list representation of the graph and a min-heap to store the unvisited vertices, where E is the number of edges in the graph and V is the number of vertices in the graph.
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