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Consider a weighted undirected graph with positive edge weights and let  be an edge in the graph. It is known that the shortest path from the source vertex  to  has weight 53 and the shortest path from  to  has weight 65. Which one of the following statements is always true?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Consider a weighted undirected graph with positive edge weights and le...

 
The minimum weight happens when (S,U) + (U,V) = (S,V)
Else (S,U) + (U,V) >= (S,V)
Given (S,U) = 53, (S,V) = 65
53 + (U,V) >= 63
(U,V) >= 12.
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Consider a weighted undirected graph with positive edge weights and let be an edge in the graph. It is known that the shortest path from the source vertex to has weight 53 and the shortest path from to has weight 65. Which one of the following statements is always true?a)b)c)d)Correct answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 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 a weighted undirected graph with positive edge weights and let be an edge in the graph. It is known that the shortest path from the source vertex to has weight 53 and the shortest path from to has weight 65. Which one of the following statements is always true?a)b)c)d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a weighted undirected graph with positive edge weights and let be an edge in the graph. It is known that the shortest path from the source vertex to has weight 53 and the shortest path from to has weight 65. Which one of the following statements is always true?a)b)c)d)Correct answer is option 'C'. Can you explain this answer?.
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