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Let G be a weighted undirected graph and e be an edge with maximum weight in G. Suppose there is a minimum weight spanning tree in G containing the edge e. Which of the following statements is always TRUE?
  • a)
    There exists a cutset in G having all edges of maximum weight.
  • b)
    There exists a cycle in G having all edges of maximum weight.
  • c)
    Edge e cannot be contained in a cycle.
  • d)
    All edges in G have the same weight.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Let G be a weighted undirected graph and e be an edge with maximum wei...
Option a is always true
Option b is not true when e is not part of a cycle.
Option c is not true when e is part of a cycle and all edge weights are same in that cycle
Option d is need not be true when e is not part of a cycle
Option a is always true as only the min weight edge in a cut set will be part of a minimum spanning tree.
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Let G be a weighted undirected graph and e be an edge with maximum weight in G. Suppose there is a minimum weight spanning tree in G containing the edge e. Which of the following statements is always TRUE?a)There exists a cutset in G having all edges of maximum weight.b)There exists a cycle in G having all edges of maximum weight.c)Edge e cannot be contained in a cycle.d)All edges in G have the same weight.Correct answer is option 'A'. Can you explain this answer?
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Let G be a weighted undirected graph and e be an edge with maximum weight in G. Suppose there is a minimum weight spanning tree in G containing the edge e. Which of the following statements is always TRUE?a)There exists a cutset in G having all edges of maximum weight.b)There exists a cycle in G having all edges of maximum weight.c)Edge e cannot be contained in a cycle.d)All edges in G have the same weight.Correct answer is option 'A'. 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 Let G be a weighted undirected graph and e be an edge with maximum weight in G. Suppose there is a minimum weight spanning tree in G containing the edge e. Which of the following statements is always TRUE?a)There exists a cutset in G having all edges of maximum weight.b)There exists a cycle in G having all edges of maximum weight.c)Edge e cannot be contained in a cycle.d)All edges in G have the same weight.Correct answer is option 'A'. 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 Let G be a weighted undirected graph and e be an edge with maximum weight in G. Suppose there is a minimum weight spanning tree in G containing the edge e. Which of the following statements is always TRUE?a)There exists a cutset in G having all edges of maximum weight.b)There exists a cycle in G having all edges of maximum weight.c)Edge e cannot be contained in a cycle.d)All edges in G have the same weight.Correct answer is option 'A'. Can you explain this answer?.
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