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Let G be an undirected connected graph with distinct edge weights. Let emax be the edge with maximum weight and emin the edge with minimum weight. Which of the following statements is false?
a)
Every minimum spanning tree of G must contain emin
b)
No minimum spanning tree contains emax
c)
If emax is in a minimum spanning tree, then its removal must disconnect G
d)
G has a unique minimum spanning tree
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Let G be an undirected connected graph with distinct edge weights. Let...
All edges are distinct weights.
Removal of emax may not disconnect G, because other edges may cover the vertices incident with emax.
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Let G be an undirected connected graph with distinct edge weights. Let emax be the edge with maximum weight and emin the edge with minimum weight. Which of the following statements is false?a) Every minimum spanning tree of G must contain eminb) No minimum spanning tree contains emax c) If emax is in a minimum spanning tree, then its removal must disconnect Gd) G has a unique minimum spanning treeCorrect answer is option 'B'. Can you explain this answer?
Question Description
Let G be an undirected connected graph with distinct edge weights. Let emax be the edge with maximum weight and emin the edge with minimum weight. Which of the following statements is false?a) Every minimum spanning tree of G must contain eminb) No minimum spanning tree contains emax c) If emax is in a minimum spanning tree, then its removal must disconnect Gd) G has a unique minimum spanning treeCorrect answer is option 'B'. 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 weights. Let emax be the edge with maximum weight and emin the edge with minimum weight. Which of the following statements is false?a) Every minimum spanning tree of G must contain eminb) No minimum spanning tree contains emax c) If emax is in a minimum spanning tree, then its removal must disconnect Gd) G has a unique minimum spanning treeCorrect answer is option 'B'. 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 weights. Let emax be the edge with maximum weight and emin the edge with minimum weight. Which of the following statements is false?a) Every minimum spanning tree of G must contain eminb) No minimum spanning tree contains emax c) If emax is in a minimum spanning tree, then its removal must disconnect Gd) G has a unique minimum spanning treeCorrect answer is option 'B'. Can you explain this answer?.
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