Which of the following degree sequences are possible for a graph? A. (6,6,6,5,4,4,3)(6,6,6,5,4,4,3) B. (5,5,4,3,3,2)(5,5,4,3,3,2) C. (8,7,7,6,5,3,2,1)(8,7,7,6,5,3,2,1) D. (6,5,4,4,3,2,1)(6,5,4,4,3,2,1)

Which of the following degree sequences are possible for a graph? A. (6,6,6,5,4,4,3)(6,6,6,5,4,4,3) B. (5,5,4,3,3,2)(5,5,4,3,3,2) C. (8,7,7,6,5,3,2,1)(8,7,7,6,5,3,2,1) D. (6,5,4,4,3,2,1)(6,5,4,4,3,2,1)

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 graph?

A. (6,6,6,5,4,4,3)(6,6,6,5,4,4,3)
B. (5,5,4,3,3,2)(5,5,4,3,3,2)
C. (8,7,7,6,5,3,2,1)(8,7,7,6,5,3,2,1)
D. (6,5,4,4,3,2,1)(6,5,4,4,3,2,1)

Expert Solution

Step 1

The given degree sequences are:

A. (6, 6, 6, 5, 4, 4, 3)
B. (5, 5, 4, 3, 3, 2)
C. (8, 7, 7, 6, 5, 3, 2, 1)
D. (6, 5, 4, 4, 3, 2, 1)

We have to determine which of the given degree sequences are possible for a graph.

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