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The degree sequence of a simple graph is the sequence of the degree of the nodes in the graph in decreasing order. Which of the following sequence can be the degree sequence of any graph?
I. 4 7 1 6 3 4 6 2
II. 3 3 3 3 3 3
III. 5 4 6 7 6 3 6 5
  • a)
    Only I
  • b)
    Only I and II
  • c)
    Only II and III
  • d)
    I, II and III
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The degree sequence of a simple graph is the sequence of the degree of...
Havel Hakimi procedure:
Sequence I: 4 7 1 6 3 4 6 2

Sequence II: 3 3 3 3 3 3

Sequence III: 5 4 6 7 6 3 6 5

II and III can be possible sequence of degree of some graph.
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The degree sequence of a simple graph is the sequence of the degree of the nodes in the graph in decreasing order. Which of the following sequence can be the degree sequence of any graph?I. 4 7 1 6 3 4 6 2II. 3 3 3 3 3 3III. 5 4 6 7 6 3 6 5a)Only Ib)Only I and IIc)Only II and IIId)I, II and IIICorrect answer is option 'C'. Can you explain this answer?
Question Description
The degree sequence of a simple graph is the sequence of the degree of the nodes in the graph in decreasing order. Which of the following sequence can be the degree sequence of any graph?I. 4 7 1 6 3 4 6 2II. 3 3 3 3 3 3III. 5 4 6 7 6 3 6 5a)Only Ib)Only I and IIc)Only II and IIId)I, II and IIICorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The degree sequence of a simple graph is the sequence of the degree of the nodes in the graph in decreasing order. Which of the following sequence can be the degree sequence of any graph?I. 4 7 1 6 3 4 6 2II. 3 3 3 3 3 3III. 5 4 6 7 6 3 6 5a)Only Ib)Only I and IIc)Only II and IIId)I, II and IIICorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The degree sequence of a simple graph is the sequence of the degree of the nodes in the graph in decreasing order. Which of the following sequence can be the degree sequence of any graph?I. 4 7 1 6 3 4 6 2II. 3 3 3 3 3 3III. 5 4 6 7 6 3 6 5a)Only Ib)Only I and IIc)Only II and IIId)I, II and IIICorrect answer is option 'C'. Can you explain this answer?.
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