July 2018
Beginner
202 pages
5h 4m
English
Content preview from Beginning Java Data Structures and Algorithms
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Activity: Improving Floyd-Warshall's Algorithm to Reconstruct the Shortest Path
Scenario
Improve Floyd-Warshall's algorithm so that we're able to reconstruct the shortest path between two given nodes after running the algorithm, using the predecessor matrix.
Aim
To construct a shortest path between the two vertices using the predecessor matrix.
Prerequisite
The predecessor matrix is used to compute the shortest path between two given vertices. Each cell of the predecessor matrix Pij should be either empty (meaning that there is no path between i and j), or equal to some index k (meaning that vertex k is the one that precedes j in the shortest path between i and j). As such, we need to update our predecessor matrix whenever we use an intermediate ...
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