Graphs/Breadth First Traversal
From charlesreid1
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:
Flags