Consider the following undirected graph: A-B B-D D-F F-C A-C C-E C-B Which one of the following sequences is not a depth-first traversal of the above graph, when starting at node 'a'? Group of answer choices a, c, d, f, b, e a, b, c, e, f, d a, b, d, f, c, e a, c, f, d, b, e
Question
Consider the following undirected graph: A-B B-D D-F F-C A-C C-E C-B Which one of the following sequences is not a depth-first traversal of the above graph, when starting at node 'a'?
Group of answer choices
a, c, d, f, b, e
a, b, c, e, f, d
a, b, d, f, c, e
a, c, f, d, b, e
Solution
The correct answer is: a, b, c, e, f, d
Here's why:
A depth-first traversal of a graph starts at a given node (in this case, 'a'), explores as far as possible along each branch before backtracking.
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The sequence a, b, c, e, f, d is not a valid depth-first traversal. After visiting 'b' from 'a', the traversal should continue to 'd' and then 'f' before backtracking to 'b' and then moving to 'c'. However, in this sequence, it moves directly from 'b' to 'c' without first exploring 'd' and 'f'.
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The sequences a, c, d, f, b, e and a, b, d, f, c, e are valid depth-first traversals. They both start at 'a' and explore as far as possible along each branch before backtracking.
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The sequence a, c, f, d, b, e is also a valid depth-first traversal. It starts at 'a', moves to 'c', then explores as far as possible along the branch through 'f' and 'd' before backtracking to 'c' and then moving to 'b' and 'e'.
Similar Questions
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