May 2017
Intermediate to advanced
340 pages
8h 16m
English
Content preview from PHP 7 Data Structures and Algorithms
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Shortest path using the Floyd-Warshall algorithm
A common scenario for a pizza-delivery company is to deliver the pizza as quickly as possible. Graph algorithms can help us in such situations. The Floyd-Warshall algorithm is a very common algorithm that is used to find the shortest path from u to v using all pairs of vertices (u, v). The shortest path indicates the shortest possible distance between two nodes that are interconnected. The graph for calculating the shortest path has to be a weighted graph. In some cases, the weight can be negative as well. The algorithm is very simple and one of the easiest to implement. It is shown here:
for i:= 1 to n do for j:= 1 to n do dis[i][j] = w[i][j] for k:= 1 to n do for i:= 1 to n do for j:= ...
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