1. The shortest-paths problem
- Distance δ(s, v) : The length of the shortest path from s to v. For example δ(s, c)=2.
- The problem:
- Input: A graph G = (V, E) and a source vertex s∈V
- Question: A shortest path from s to each vertex v ∈V and the distance δ(s, v) .
2. Algorithm

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Some details:
- White:represented “undiscovered” vertices
- Gray:represented “discovered” but not “processed” vertices
- Black:represented “processed” vertices
-
Given a gra

本文探讨了最短路径问题,并详细介绍了广度优先搜索(BFS)算法。BFS用于寻找图中源节点s到每个节点v的最短路径及其距离δ(s, v)。算法通过将节点标记为未发现、已发现但未处理和已处理三种状态来遍历图。通过BFS,可以得到一个最短路径树,其中s到节点v的唯一简单路径即为原图中的最短路径。文章还提供了一个BFS的逐步示例来帮助理解。"
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