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Consider an undirected unweighted graph G. Let a breadth-first traversal of G be done starting from a node r. Let d(r, u) and d(r, v) be the lengths of the shortest paths from r to u and v respectively, in G. lf u is visited before v during the breadth-first traversal, which of the following statements is correct? 
  • a)
    d(r, u) < d (r, v)
  • b)
    d(r, u) > d(r, v)
  • c)
    d(r, u) <= d (r, v)
  • d)
    None of the above
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Consider an undirected unweighted graph G. Let a breadth-first travers...
d(r, u) and d(r, v) will be equal when u and v are at same level, otherwise d(r, u) will be less than d(r, v)
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Most Upvoted Answer
Consider an undirected unweighted graph G. Let a breadth-first travers...
The correct statement is:

a) d(r, u) <= d(r,="">

This is because during a breadth-first traversal, the nodes are visited in the order of their distance from the starting node. Since u is visited before v, it means that the distance from r to u is shorter than or equal to the distance from r to v.
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Consider an undirected unweighted graph G. Let a breadth-first traversal of G be done starting from a node r. Let d(r, u) and d(r, v) be the lengths of the shortest paths from r to u and v respectively, in G. lf u is visited before v during the breadth-first traversal, which of the following statements is correct?a)d(r, u) < d (r, v)b)d(r, u) > d(r, v)c)d(r, u) <= d (r, v)d)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
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Consider an undirected unweighted graph G. Let a breadth-first traversal of G be done starting from a node r. Let d(r, u) and d(r, v) be the lengths of the shortest paths from r to u and v respectively, in G. lf u is visited before v during the breadth-first traversal, which of the following statements is correct?a)d(r, u) < d (r, v)b)d(r, u) > d(r, v)c)d(r, u) <= d (r, v)d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider an undirected unweighted graph G. Let a breadth-first traversal of G be done starting from a node r. Let d(r, u) and d(r, v) be the lengths of the shortest paths from r to u and v respectively, in G. lf u is visited before v during the breadth-first traversal, which of the following statements is correct?a)d(r, u) < d (r, v)b)d(r, u) > d(r, v)c)d(r, u) <= d (r, v)d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider an undirected unweighted graph G. Let a breadth-first traversal of G be done starting from a node r. Let d(r, u) and d(r, v) be the lengths of the shortest paths from r to u and v respectively, in G. lf u is visited before v during the breadth-first traversal, which of the following statements is correct?a)d(r, u) < d (r, v)b)d(r, u) > d(r, v)c)d(r, u) <= d (r, v)d)None of the aboveCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Consider an undirected unweighted graph G. Let a breadth-first traversal of G be done starting from a node r. Let d(r, u) and d(r, v) be the lengths of the shortest paths from r to u and v respectively, in G. lf u is visited before v during the breadth-first traversal, which of the following statements is correct?a)d(r, u) < d (r, v)b)d(r, u) > d(r, v)c)d(r, u) <= d (r, v)d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
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