Any traversal of a connected, undirected graph visits all the vertices in that graph. The set of edges which are traversed during a traversal forms a spanning tree. Fig. Graph G

For example, This Fig shows the spanning tree obtained from a breadth-first traversal starting at vertex b. Breadth-first spanning tree of G rooted at b

Similarly, This Fig shows the spanning tree obtained from a depth-first traversal starting at vertex c. Depth-first spanning tree of G rooted at c

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