Q9A. Consider the graph with the following vertices and edges: V = {a, b, c, d, e, f} E = {{a, b}, {a, c}, {a, d}, {a, f}, {b, c}, {b, f}, {c, d}, {c, f}, {d, e}, {d, f}} b a C d e Which of the following is true about Hamiltonian cycles and paths for the graph? The graph has a Hamiltonian path but not a Hamiltonian cycle. The graph has a Hamiltonian cycle but not a Hamiltonian path. The graph has a Hamiltonian cycle and a Hamiltonian path. The graph has neither a Hamiltonian path nor a Hamiltonian cycle.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 60E
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Q9A. Consider the graph with the following vertices and edges:
V = {a, b, c, d, e, f}
E = {{a, b}, {a, c}, {a, d}, {a, f}, {b, c}, {b, f}, {c, d}, {c, f}, {d, e}, {d, f}}
b
a
C
d
e
Which of the following is true about Hamiltonian cycles and paths for the graph?
The graph has a Hamiltonian path but not a Hamiltonian cycle.
The graph has a Hamiltonian cycle but not a Hamiltonian path.
The graph has a Hamiltonian cycle and a Hamiltonian path.
The graph has neither a Hamiltonian path nor a Hamiltonian cycle.
Transcribed Image Text:Q9A. Consider the graph with the following vertices and edges: V = {a, b, c, d, e, f} E = {{a, b}, {a, c}, {a, d}, {a, f}, {b, c}, {b, f}, {c, d}, {c, f}, {d, e}, {d, f}} b a C d e Which of the following is true about Hamiltonian cycles and paths for the graph? The graph has a Hamiltonian path but not a Hamiltonian cycle. The graph has a Hamiltonian cycle but not a Hamiltonian path. The graph has a Hamiltonian cycle and a Hamiltonian path. The graph has neither a Hamiltonian path nor a Hamiltonian cycle.
Q10C. Consider the graph with the following vertices and edges:
V = {a, b, c, d, e, f}
E = {{a, b}, {a, c}, {a, d}, {a, f}, {b, e}, {b, f}, {c, d}, {d, e}, {d, f}}
b
a
f
<d, c, a, b, e>
< a, b, c, d, e, f, a >
< a, b, f, d, c, a >
<b, f, a, b >
<f, b, e >
e
Which of the following are examples of circuits within the graph? (Select all that
apply.)
Transcribed Image Text:Q10C. Consider the graph with the following vertices and edges: V = {a, b, c, d, e, f} E = {{a, b}, {a, c}, {a, d}, {a, f}, {b, e}, {b, f}, {c, d}, {d, e}, {d, f}} b a f <d, c, a, b, e> < a, b, c, d, e, f, a > < a, b, f, d, c, a > <b, f, a, b > <f, b, e > e Which of the following are examples of circuits within the graph? (Select all that apply.)
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