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
icon
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.
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning