Question

In: Computer Science

2. Compare and compare the matrix multiplication algorithm and the Floyd-Warshall algorithm to find all pairs...

2. Compare and compare the matrix multiplication algorithm and the Floyd-Warshall algorithm to find all pairs shortest paths from the perspective below.

  1. greedy vs dynamic programming
  2. recurrence relation
  3. relaxation process
  4. time & space complexity

Solutions

Expert Solution

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In greedy ,we use dijkstra algorithm "V" time for every vertex in both matrix multiplication and floyd warshal but due to which time complexity increases

Recurrence relation,relaxation process and time complexity shown in soilution cleary

While space complexity of Floydwarshall is On( n^2) and for matrix multiplication is 0(n^3)


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