From charlesreid1

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Also see BFS

Notes

What BFS Gets Us

Breadth-first search is important because it gets us the shortest path (the path with the fewest number of edges) from a vertex u to a vertex v. To state this more rigorously, a path in a breadth-first search tree rooted at vertex u to any other vertex v is guaranteed to be the shortest path from u to v (where shortest path denotes number of edges).

The fact that the BFS tree yields shortest paths is a natural consequence of how the BFS process works.

Related

Graphs:

Traversals on trees:

OOP design patterns:

Category:Traversal

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