Floyd Warshall Algorithm with example in Hindi | DAA | ADA
Автор: Xtra Lectures
Загружено: 2020-04-01
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Описание:
The Floyd Warshall Algorithm is for solving the All Pairs Shortest Path problem. The problem is to find shortest distances between every pair of vertices in a given edge weighted directed Graph.
All pairs shortest path:
In the all pairs shortest path problem, we are to find a shortest path between every pair of vertices in a directed graph G. That is, for every pair of vertices (i, j), we are to find a shortest path from i to j as well as one from j to i. These two paths are the same when G is undirected. When no edge has a negative length, the all-pairs shortest path problem may be solved by using Dijkstra’s greedy single source algorithm ties, once each of the vertices as the source vertex.The all pairs shortest path problem is to determine a matrix A such that A (i, j) is the length of a shortest path from i to j.
The matrix A can be obtained by solving n single-source problems using the algorithm shortest Paths. Since each application of this procedure requires O (n2) time, the matrix A can be obtained in O (n3) time.
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