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Let G be an undirected connected graph with distinct edge weight. Let emax be the edge with maximum weight and emin the edge with minimum weight. Which of the following statements is false? (GATE CS 2000)
  • a)
    Every minimum spanning tree of G must contain emin
  • b)
    If emax is in a minimum spanning tree, then its removal must disconnect G
  • c)
    No minimum spanning tree contains emax
  • d)
    G has a unique minimum spanning tree
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Let G be an undirected connected graph with distinct edge weight. Let ...
(a) and (b) are always true. (c) is false because (b) is true. (d) is true because all edge weights are distinct for G.
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Let G be an undirected connected graph with distinct edge weight. Let emax be the edge with maximum weight and emin the edge with minimum weight. Which of the following statements is false? (GATE CS 2000)a)Every minimum spanning tree of G must contain eminb)If emax is in a minimum spanning tree, then its removal must disconnect Gc)No minimum spanning tree contains emaxd)G has a unique minimum spanning treeCorrect answer is option 'C'. Can you explain this answer?
Question Description
Let G be an undirected connected graph with distinct edge weight. Let emax be the edge with maximum weight and emin the edge with minimum weight. Which of the following statements is false? (GATE CS 2000)a)Every minimum spanning tree of G must contain eminb)If emax is in a minimum spanning tree, then its removal must disconnect Gc)No minimum spanning tree contains emaxd)G has a unique minimum spanning treeCorrect 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 Let G be an undirected connected graph with distinct edge weight. Let emax be the edge with maximum weight and emin the edge with minimum weight. Which of the following statements is false? (GATE CS 2000)a)Every minimum spanning tree of G must contain eminb)If emax is in a minimum spanning tree, then its removal must disconnect Gc)No minimum spanning tree contains emaxd)G has a unique minimum spanning treeCorrect 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 Let G be an undirected connected graph with distinct edge weight. Let emax be the edge with maximum weight and emin the edge with minimum weight. Which of the following statements is false? (GATE CS 2000)a)Every minimum spanning tree of G must contain eminb)If emax is in a minimum spanning tree, then its removal must disconnect Gc)No minimum spanning tree contains emaxd)G has a unique minimum spanning treeCorrect answer is option 'C'. Can you explain this answer?.
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