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Consider a DFS is implemented on an undirected weighted graph G. Let d(r,u) and d(r,v) be the weight of the edge (r,u) and edge (r, v) respectively. If v is visited immediately after u in depth first traversal, which of the following statement is correct?
  • a)
    d(r, u) > d(r, v)
  • b)
    d(r, u) < d(r, v)
  • c)
    All u’s edges have been explored
  • d)
    All v’s edges have been explored
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Consider a DFS is implemented on an undirected weighted graph G. Let d...
Depth-first search explores edges out of the most recently discovered vertex u that still has unexplored edges leaving it. Once all of u’s edges have been explored, the search “backtracks” to explore edges leaving the vertex from which u was discovered.
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Consider a DFS is implemented on an undirected weighted graph G. Let d(r,u) and d(r,v) be the weight of the edge (r,u) and edge (r, v) respectively. If v is visited immediately after u in depth first traversal, which of the following statement is correct?a)d(r, u) > d(r, v)b)d(r, u) < d(r, v)c)All u’s edges have been exploredd)All v’s edges have been exploredCorrect answer is option 'C'. Can you explain this answer?
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