Does a simple graph on eight vertices of degrees 1, 1, 2, 2, 3, 3, 4, 4 exist? Either draw such a graph or explain why no such graph exists.
Does a simple graph on eight vertices of degrees 1, 1, 2, 2, 3, 3, 4, 4 exist? Either draw such a graph or explain why no such graph exists.
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 11
Plz provide hand written answer asap
![11.
(a) Does a simple graph on eight vertices of degrees 1, 1, 2, 2, 3, 3, 4, 4 exist?
Either draw such a graph or explain why no such graph exists.
(b) Is there a simple connected graph having 9 vertices and 7 edges?
Either draw such a graph or explain why no such graph exists.
(c) Is there a simple graph such that the third power of its adjacency matrix A equals to
[o 2 0 1
A = 2 1 3 0
0 3 2 2
Either draw such a graph or explain why no such graph exists.
10 2 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd93bfe20-7516-4130-8273-a810959035b0%2F42559fc8-cea7-496f-8f5c-f3af1534cbdb%2F8kdxp5m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:11.
(a) Does a simple graph on eight vertices of degrees 1, 1, 2, 2, 3, 3, 4, 4 exist?
Either draw such a graph or explain why no such graph exists.
(b) Is there a simple connected graph having 9 vertices and 7 edges?
Either draw such a graph or explain why no such graph exists.
(c) Is there a simple graph such that the third power of its adjacency matrix A equals to
[o 2 0 1
A = 2 1 3 0
0 3 2 2
Either draw such a graph or explain why no such graph exists.
10 2 1
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