1. Which of the following has an Euler circuit? Fig. A 2. Which graphs has an Euler circuit? a b a b C d Fig C C D d Fig. D с Fig. B d Fig. E D F Fig F Fig. G 3. List the degrees of each vertex of the graphs in Q2. Is there a connection between degrees and the existence of Euler paths and circuits?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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EXERCISE 11.1
1. Which of the following has an Euler circuit?
L!!
2
Fig. A
Fig. B
2. Which graphs has an Euler circuit?
a
b
a
b
X
d
C
C
Fig C
D
d
E
Fig. D
с
d
Fig. E
D
F
Fig F
Fig. G
3. List the degrees of each vertex of the graphs in Q2. Is there a connection
between degrees and the existence of Euler paths and circuits?
Transcribed Image Text:EXERCISE 11.1 1. Which of the following has an Euler circuit? L!! 2 Fig. A Fig. B 2. Which graphs has an Euler circuit? a b a b X d C C Fig C D d E Fig. D с d Fig. E D F Fig F Fig. G 3. List the degrees of each vertex of the graphs in Q2. Is there a connection between degrees and the existence of Euler paths and circuits?
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