Q9B. Consider the graph with the following vertices and edges: V = {a, b, c, d, e, f} E = {{a, b}, {a, e}, {b, c}, {b, f}, {d, e}, {e, f}} a e b f C Which of the following is true about Hamiltonian cycles and paths for the graph? The graph has a Hamiltonian cycle but not a Hamiltonian path. The graph has a Hamiltonian path but not a Hamiltonian cycle. The graph has a Hamiltonian cycle and a Hamiltonian path. The graph has neither a Hamiltonian path nor a Hamiltonian cycle.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Q9B. Consider the graph with the following vertices and edges:
V = {a, b, c, d, e, f}
E = {{a, b}, {a, e}, {b, c}, {b, f}, {d, e}, {e, f}}
a
e
b
f
Which of the following is true about Hamiltonian cycles and paths for the graph?
The graph has a Hamiltonian cycle but not a Hamiltonian path.
The graph has a Hamiltonian path but not a Hamiltonian cycle.
© The graph has a Hamiltonian cycle and a Hamiltonian path.
The graph has neither a Hamiltonian path nor a Hamiltonian cycle.
Transcribed Image Text:Q9B. Consider the graph with the following vertices and edges: V = {a, b, c, d, e, f} E = {{a, b}, {a, e}, {b, c}, {b, f}, {d, e}, {e, f}} a e b f Which of the following is true about Hamiltonian cycles and paths for the graph? The graph has a Hamiltonian cycle but not a Hamiltonian path. The graph has a Hamiltonian path but not a Hamiltonian cycle. © The graph has a Hamiltonian cycle and a Hamiltonian path. The graph has neither a Hamiltonian path nor a Hamiltonian cycle.
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