Answered: Which of the following degree sequences…

Which of the following degree sequences are possible for a simple graph? A. (9,7,7,7,7,6,5,4,4) B. (6,5,5,5,5,5,4,4,4,3) C. (4,3,3,2,2,2,1) D. (7,7,6,6,6,5,5,4)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Which of the following degree sequences are possible for a simple graph?

A. (9,7,7,7,7,6,5,4,4)
B. (6,5,5,5,5,5,4,4,4,3)
C. (4,3,3,2,2,2,1)
D. (7,7,6,6,6,5,5,4)

Expert Solution

Step 1

To check that for which of the following degree sequences are possible for simple graph:

A. (9, 7, 7, 7, 7, 6, 5, 4, 4)

B. (6, 5, 5, 5, 5, 5, 4, 4, 4, 3)

C. (4, 3, 3, 2, 2, 2, 1)

D. (7, 7, 6, 6, 6, 5, 5, 4)

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