V = {a, b, c, d, e, f, g} E = {{a, b}, {a, c}, {a, d}, {a, f}, {b, c}, {b, e}, {b, f}, {c, d}, {c, g}, {d, e}, {d, f}, {f, g}} Explain why the graph either does or does not have an Euler circuit. b a d e g All vertices have odd degree. Therefore, the graph does not have an Euler circuit. All vertices have even degree. Therefore, the graph does have an Euler circuit. Two vertices (b and f) have odd degree. Therefore, the graph does not have an Euler circuit. Four vertices (a, b, d, and e) have odd degree. Therefore, the graph does not have an Euler circuit.
V = {a, b, c, d, e, f, g} E = {{a, b}, {a, c}, {a, d}, {a, f}, {b, c}, {b, e}, {b, f}, {c, d}, {c, g}, {d, e}, {d, f}, {f, g}} Explain why the graph either does or does not have an Euler circuit. b a d e g All vertices have odd degree. Therefore, the graph does not have an Euler circuit. All vertices have even degree. Therefore, the graph does have an Euler circuit. Two vertices (b and f) have odd degree. Therefore, the graph does not have an Euler circuit. Four vertices (a, b, d, and e) have odd degree. Therefore, the graph does not have an Euler circuit.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 5GP
Related questions
Question
![V = a, b, c, d, e, f, g}
E = {{a, b}, {a, c}, {a, d}, {a, f}, {b, c}, {b, e}, {b, f}, {c, d}, {c, g}, {d, e}, {d, f}, {f, g}}
Explain why the graph either does or does not have an Euler circuit.
b
a
C
4
d
e
CD
g
All vertices have odd degree. Therefore, the graph does not have an Euler circuit.
All vertices have even degree. Therefore, the graph does have an Euler circuit.
Two vertices (b and f) have odd degree. Therefore, the graph does not have an
Euler circuit.
Four vertices (a, b, d, and e) have odd degree. Therefore, the graph does not have
an Euler circuit.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb2542ab-bb61-409d-b384-1282cb9f3063%2F4273861b-bc6c-4964-8ae1-5b5564c3d47c%2F5i7abqg_processed.png&w=3840&q=75)
Transcribed Image Text:V = a, b, c, d, e, f, g}
E = {{a, b}, {a, c}, {a, d}, {a, f}, {b, c}, {b, e}, {b, f}, {c, d}, {c, g}, {d, e}, {d, f}, {f, g}}
Explain why the graph either does or does not have an Euler circuit.
b
a
C
4
d
e
CD
g
All vertices have odd degree. Therefore, the graph does not have an Euler circuit.
All vertices have even degree. Therefore, the graph does have an Euler circuit.
Two vertices (b and f) have odd degree. Therefore, the graph does not have an
Euler circuit.
Four vertices (a, b, d, and e) have odd degree. Therefore, the graph does not have
an Euler circuit.
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