Explain why the graph shown to the right has no Euler paths and no Euler circuits. A D H. Choose the correct answer below. O A. By Euler's Theorem, the graph has no Euler paths and no Euler circuits because it has all even vertices. O B. By Euler's Theorem., the graph has no Euler paths and no Euler circuits because it has exactly two odd vertices. O C. By Euler's Theorem, the graph has no Euler paths and no Euler circuits because it has more than two odd vertices. O D. By Euler's Theorem, the graph has no Euler paths and no Euler circuits because it has an even number of odd vertices.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.5: The Format Proof Of A Theorem
Problem 12E: Based upon the hypothesis of a theorem, do the drawings of different students have to be identical...
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Question
Explain why the graph shown to the right has no Euler paths and no Euler
circuits.
A
B
D.
E
G
H.
.....
Choose the correct answer below.
O A. By Euler's Theorem, the graph has no Euler paths and no Euler circuits because it has all even vertices.
O B. By Euler's Theorem, the graph has no Euler paths and no Euler circuits because it has exactly two odd vertices.
O C. By Euler's Theorem, the graph has no Euler paths and no Euler circuits because it has more than two odd vertices.
O D. By Euler's Theorem, the graph has no Euler paths and no Euler circuits because it has an even number of odd vertices.
Transcribed Image Text:Explain why the graph shown to the right has no Euler paths and no Euler circuits. A B D. E G H. ..... Choose the correct answer below. O A. By Euler's Theorem, the graph has no Euler paths and no Euler circuits because it has all even vertices. O B. By Euler's Theorem, the graph has no Euler paths and no Euler circuits because it has exactly two odd vertices. O C. By Euler's Theorem, the graph has no Euler paths and no Euler circuits because it has more than two odd vertices. O D. By Euler's Theorem, the graph has no Euler paths and no Euler circuits because it has an even number of odd vertices.
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