Floyd algorith to get shortest path between two vertices

Posted on 2004-10-26
Last Modified: 2008-01-09
I am trying to implement floyd algorith to find shortest path ..cna any one help me...
Question by:prashanth_gurijala
    LVL 11

    Expert Comment

    No one will code for you but if you show what you have done .. others may try to help you

    googling "floyd algorithm " gave me the folowing

    maybe you can modify the above to suit your needs
    LVL 55

    Expert Comment

    by:Jaime Olivares
    LVL 9

    Accepted Solution


    this can help you:

    floyd on adjacent matrix W for the graph
        n is the number of rows in W;
        for k = 1 to n
            for i = 1 to n
                for j = 1 to n
                    D(k)[i][j]=MIN(D(k-1)[i][j], D(k-1)[i][k] + D(k-1)[k][j]);

    means for all i and j, I want to know the minimum path between i and j that k participate in the path,
    so for all k, i replace D[i][j] with the min of D[i][j] and D[i][k]+D[k][j], that means, if the path between i -> k, and then k ->j is smaller than the path i->j  that doesn't use k in the path, i use this minimum.

    note that you can use one D matrix for above operation.

    have a good programming day.

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