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Let G be any connected, weighted, undirected graph.
I. G has a unique minimum spanning tree, if no two edges of G have the same weight.
II. G has a unique minimum spanning tree, if, for every cut of G, there is a unique minimumweight edge crossing the cut.
Which of the above two statements is/are TRUE?
  • a)
    I only
  • b)
    II only
  • c)
    Neither I nor II
  • d)
    Both I and II
Correct answer is option 'D'. Can you explain this answer?
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Let G be any connected, weighted, undirected graph.I. G has a unique minimum spanning tree, if no two edges of G have the same weight.II. G has a unique minimum spanning tree, if, for every cut of G, there is a unique minimumweight edge crossing the cut.Which of the above two statements is/are TRUE?a)I onlyb)II onlyc)Neither I nor IId)Both I and IICorrect answer is option 'D'. Can you explain this answer?
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Let G be any connected, weighted, undirected graph.I. G has a unique minimum spanning tree, if no two edges of G have the same weight.II. G has a unique minimum spanning tree, if, for every cut of G, there is a unique minimumweight edge crossing the cut.Which of the above two statements is/are TRUE?a)I onlyb)II onlyc)Neither I nor IId)Both I and IICorrect answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Let G be any connected, weighted, undirected graph.I. G has a unique minimum spanning tree, if no two edges of G have the same weight.II. G has a unique minimum spanning tree, if, for every cut of G, there is a unique minimumweight edge crossing the cut.Which of the above two statements is/are TRUE?a)I onlyb)II onlyc)Neither I nor IId)Both I and IICorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let G be any connected, weighted, undirected graph.I. G has a unique minimum spanning tree, if no two edges of G have the same weight.II. G has a unique minimum spanning tree, if, for every cut of G, there is a unique minimumweight edge crossing the cut.Which of the above two statements is/are TRUE?a)I onlyb)II onlyc)Neither I nor IId)Both I and IICorrect answer is option 'D'. Can you explain this answer?.
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