Do some outside research on depth-first traversal as it relates to traversing graphs. Then answer the following questions:

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Author:James Kurose, Keith Ross
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Do some outside research on depth-first traversal as it relates to traversing graphs.
Then answer the following questions:
a. Suppose you have an arbitrary connected graph G, shown in the image below.
Use the vertex A as your starting point. Write out the order in which the
algorithm could traverse the graph with a depth-first search, and explain your
reasoning (there are multiple correct answers, hence the need for an
explanation).
b. Use a proof by induction to prove that when a depth-first traversal is performed,
every vertex v in your graph G will have been visited at least one time.
B
D
H
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A
G
с
I
FL
Transcribed Image Text:Do some outside research on depth-first traversal as it relates to traversing graphs. Then answer the following questions: a. Suppose you have an arbitrary connected graph G, shown in the image below. Use the vertex A as your starting point. Write out the order in which the algorithm could traverse the graph with a depth-first search, and explain your reasoning (there are multiple correct answers, hence the need for an explanation). b. Use a proof by induction to prove that when a depth-first traversal is performed, every vertex v in your graph G will have been visited at least one time. B D H E A G с I FL
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