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Which of the following can be degree sequence of simple graph?
I. 2, 3, 3, 3, 3, 3, 4, 5
II. 1, 3, 3, 4, 5, 6, 6
III. 1, 1, 3, 3, 5, 6, 7
IV. 1, 2, 3, 3, 4, 5, 6 
  • a)
    I only
  • b)
    II & IV
  • c)
    I and IV
  • d)
    I, II and III
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Which of the following can be degree sequence of simple graph?I. 2, 3,...
III is not simple graph as highest degree in any simple graph with n vertices is (n-1). II is also not a simple graph because it has 7 vertices and two vertices has degree 6, hence minimum degree cannot be 1. We can use Havel-Hakimi method for I & IV. We can show II is not simple graph using Havel-Hakimi method also.
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Which of the following can be degree sequence of simple graph?I. 2, 3, 3, 3, 3, 3, 4, 5II. 1, 3, 3, 4, 5, 6, 6III. 1, 1, 3, 3, 5, 6, 7IV. 1, 2, 3, 3, 4, 5, 6a)I onlyb)II & IVc)I and IVd)I, II and IIICorrect answer is option 'C'. Can you explain this answer?
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Which of the following can be degree sequence of simple graph?I. 2, 3, 3, 3, 3, 3, 4, 5II. 1, 3, 3, 4, 5, 6, 6III. 1, 1, 3, 3, 5, 6, 7IV. 1, 2, 3, 3, 4, 5, 6a)I onlyb)II & IVc)I and IVd)I, II and IIICorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Which of the following can be degree sequence of simple graph?I. 2, 3, 3, 3, 3, 3, 4, 5II. 1, 3, 3, 4, 5, 6, 6III. 1, 1, 3, 3, 5, 6, 7IV. 1, 2, 3, 3, 4, 5, 6a)I onlyb)II & IVc)I and IVd)I, II and IIICorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following can be degree sequence of simple graph?I. 2, 3, 3, 3, 3, 3, 4, 5II. 1, 3, 3, 4, 5, 6, 6III. 1, 1, 3, 3, 5, 6, 7IV. 1, 2, 3, 3, 4, 5, 6a)I onlyb)II & IVc)I and IVd)I, II and IIICorrect answer is option 'C'. Can you explain this answer?.
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