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Following is the algorithm to find all pairs shortest path in a weighted directed graph, where W[][] is adjacency matrix with weights. Floyd(W[1..n, 1..n]) //Implements Floyd's algorithm for the all-pairs shortest-paths problem //Input: The weight matrix W of a graph with no negative-length cycle //Output: The distance matrix of the shortest paths' lengths D < W /is not necessary if W can be overwritten for k < 1 to n do for i < 1 to n do for j + 1to n do D[i, il < min{D[i, j]. D[i, K] + D[k, jl) return D

Following is the algorithm to find all pairs shortest path in a weighted directed graph, where W[][] is adjacency matrix with weights. Floyd(W[1..n, 1..n]) //Implements Floyd's algorithm for the all-pairs shortest-paths problem //Input: The weight matrix W of a graph with no negative-length cycle //Output: The distance matrix of the shortest paths' lengths D < W /is not necessary if W can be overwritten for k < 1 to n do for i < 1 to n do for j + 1to n do D[i, il < min{D[i, j]. D[i, K] + D[k, jl) return D

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Following is the algorithm to find all pairs shortest path in a weighted directed graph, where W[][] is adjacency matrix with weights.

Floyd(W[1..n, 1..n])
//Implements Floyd's algorithm for the all-pairs shortest-paths problem
//Input: The weight matrix W of a graph with no negative-length cycle
//Output: The distance matrix of the shortest paths' lengths
D < W /is not necessary if W can be overwritten
for k < 1 to n do
for i
< 1 to n do
for j + 1to n do
D[i, il < min{D[i, j]. D[i, K] + D[k, jl)
return D 

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