Let G be graph with 8 vertices and 10 edges. If every vertex of G has degree 2 or 3, then How many vertices of each degree does G have? Select the correct response: A. G has 1 vertices of degree 2 and 7 vertices of degree 3. B. G has 2 vertices of degree 2 and 6 vertices of degree 3. C. G has 3 vertices of degree 2 and 5 vertices of degree 3. D. G has 4 vertices of degree 2 and 4 vertices of degree 3. E. G has 5 vertices of degree 2 and 3 vertices of degree 3. F. G has 6 vertices of degree 2 and 2 vertices of degree 3. G. G has 7 vertices of degree 2 and 1 vertices of degree 3. H. G has 8 vertices of degree 2 and 0 vertices of degree 3. I. No such graph exists.
Let G be graph with 8 vertices and 10 edges. If every vertex of G has degree 2 or 3, then How many vertices of each degree does G have? Select the correct response: A. G has 1 vertices of degree 2 and 7 vertices of degree 3. B. G has 2 vertices of degree 2 and 6 vertices of degree 3. C. G has 3 vertices of degree 2 and 5 vertices of degree 3. D. G has 4 vertices of degree 2 and 4 vertices of degree 3. E. G has 5 vertices of degree 2 and 3 vertices of degree 3. F. G has 6 vertices of degree 2 and 2 vertices of degree 3. G. G has 7 vertices of degree 2 and 1 vertices of degree 3. H. G has 8 vertices of degree 2 and 0 vertices of degree 3. I. 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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Transcribed Image Text:Let G be graph with 8 vertices and 10 edges. If every vertex of G has degree 2 or 3, then
How many vertices of each degree does G have?
Select the correct response:
A. G has 1 vertices of degree 2 and 7 vertices of degree 3.
B. G has 2 vertices of degree 2 and 6 vertices of degree 3.
C. G has 3 vertices of degree 2 and 5 vertices of degree 3.
D. G has 4 vertices of degree 2 and 4 vertices of degree 3.
E. G has 5 vertices of degree 2 and 3 vertices of degree 3.
F. G has 6 vertices of degree 2 and 2 vertices of degree 3.
G. G has 7 vertices of degree 2 and 1 vertices of degree 3.
H. G has 8 vertices of degree 2 and 0 vertices of degree 3.
I. No such graph exists.
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