Program for all pairs shortest paths algorithm, Data Structure & Algorithms

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Program segment for All pairs shortest paths algorithm

AllPairsShortestPaths(int N, Matrix C, Matrix P, Matrix D)

{

int i, j, k

if i = j then C[i][j] = 0

 for ( i = 0; i < N; i++)

{

for (j = 0; j < N; j++)

{

D[i][j] = C[i][j]; P[i][j] = -1;

} D[i][j] = 0;

}

 

for (k=0; k

{

for (i=0; i

{

for (j=0; J

{

if (D[i][k] + D[k][j] < D[i][j])

{

D[i][j] = D[i][k] + D[k][j]; P[i][j] = k;

}

}

}

}

}

/*********** End *************/

From the above algorithm, it is obvious that it has O(N3) time complexity. Shortest path algorithms had many applications in the areas of Operations like Computer Science, Research, Electrical Engineering and other related areas.


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