dijkstra algorithm runtime


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PDF 1 Dijkstras runtime 2 Amortized Time

13 mai 2016 · Last time we introduced Dijkstra's algorithm and proved its the correctness Today we'll look at how long it will take to run

  • Is Dijkstra's algorithm the fastest?

    This generalization is called the generic Dijkstra shortest-path algorithm. .
    This is asymptotically the fastest known single-source shortest-path algorithm for arbitrary directed graphs with unbounded non-negative weights.

  • What is the runtime of Dijkstra Fibonacci heap?

    Thus, the overall runtime for Dijkstra's with a regular heap is O(E log(V )), while with a Fibonacci heap, it is O(E + V log(V )).

  • What is the time complexity of Dijkstra's matrix?

    We have discussed Dijkstra's algorithm and its implementation for adjacency matrix representation of graphs.
    The time complexity for the matrix representation is O(V^2).

  • This means the running time for Dijkstra's algorithm using a binary min-heap as a priority queue is O((E+V)logV) .
    A directed graph is weakly connected if replacing all of its directed edges with undirected edges produces a connected undirected graph.

The running time of that algorithm is O(V+E) where V is the number of vertices and E is the number of edges, because it pushes each reachable vertex onto the queue and considers each outgoing edge from it once.
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