35. Use the Breadth-First Spanning Tree Search Algorithm to find a spanning tree of KStart from vertex j. Remember, we start with vertex j being labeled 0.bh00gK6d0a. Vertices that should be labeled as step 1:b. Vertices that should be labeled as step 2:c. Vertices that should be labeled as step 3:d. Vertices that should be labeled as step 4:e. Edges that need to be removed to get a spanning tree:

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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How do I find a spanning tree of a graph using a breadth-first search?

Consider connecting a vertex to the "parent" vertex that "found" this vertex. Then, since every vertex is visited eventually, there is a path leading back to the source vertex.

By picking $2$ vertices $a, b$ and their paths to the source vertex, we see that there is a path between $a$ and $b$ . Hence the graph is connected. Every vertex other than the source vertex generates an edge, so this graph has $n - 1$ nodes. As such, it is a spanning tree of the original graph.