August 2026
Intermediate
138 pages
2h 57m
English
Content preview from Algorithms and Programs: An AI-Assisted Approach
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Chapter 9. Shortest Paths
Suppose that you need to find the fastest walking route between two locations in a city. To do so, you would model roads as graph edges connecting corners (vertices), with travel times as weights, and you would seek the minimal-cost route.
In this chapter, we develop two algorithms for building the shortest path between two vertices in a weighted graph. We arrive at both algorithms by again weakening postconditions. The Bellman-Ford algorithm allows negative weights. It is not greedy because it modifies—not just builds on—a developing solution. By contrast, Dijkstra’s algorithm does not allow negative weights and is ...
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