Use Dirac's Theorem to verify that the graph is Hamiltonian. Then find a Hamiltonian circuit. A E A D с Write the letter corresponding to the correct answer. e a) The graph is not connected. Dirac's Theorem does not apply. b) The graph does not have at least three vertices. Dirac's Theorem does not apply. c) The graph is Hamiltonian. A Hamiltonian circuit is E-F-B-E-A-F-C-G-D-E. d) Every vertex does not have a degree of 4 or more. Dirac's Theorem does not apply. e) The graph is Hamiltonian. A Hamiltonian circuit is A-B-C-D-E-G-F-A. Use trial and error to find a Hamiltonian circuit, starting at vertex A in the weighted graph. Compute the total weight. 8. 5 F B 9 B B с E D Write the letter corresponding to the correct answer. c a) A-C-D-E-B-A, 32 b) A-B-E-D-C-A, 32 c) A-D-E-B-C-A, 32 d) A-D-E-B-C-A, 31 e) A-B-E-D-C-A, 30
Use Dirac's Theorem to verify that the graph is Hamiltonian. Then find a Hamiltonian circuit. A E A D с Write the letter corresponding to the correct answer. e a) The graph is not connected. Dirac's Theorem does not apply. b) The graph does not have at least three vertices. Dirac's Theorem does not apply. c) The graph is Hamiltonian. A Hamiltonian circuit is E-F-B-E-A-F-C-G-D-E. d) Every vertex does not have a degree of 4 or more. Dirac's Theorem does not apply. e) The graph is Hamiltonian. A Hamiltonian circuit is A-B-C-D-E-G-F-A. Use trial and error to find a Hamiltonian circuit, starting at vertex A in the weighted graph. Compute the total weight. 8. 5 F B 9 B B с E D Write the letter corresponding to the correct answer. c a) A-C-D-E-B-A, 32 b) A-B-E-D-C-A, 32 c) A-D-E-B-C-A, 32 d) A-D-E-B-C-A, 31 e) A-B-E-D-C-A, 30
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Use Dirac's Theorem to verify that the graph is Hamiltonian. Then find a Hamiltonian circuit.
A
B
E
A
(F
D
с
Write the letter corresponding to the correct answer. e
a) The graph is not connected. Dirac's Theorem does not apply.
b) The graph does not have at least three vertices. Dirac's Theorem does not apply.
c) The graph is Hamiltonian. A Hamiltonian circuit is E-F-B-E-A-F-C-G-D-E.
d) Every vertex does not have a degree of 4 or more. Dirac's Theorem does not apply.
e) The graph is Hamiltonian. A Hamiltonian circuit is A-B-C-D-E-G-F-A.
Use trial and error to find a Hamiltonian circuit, starting at vertex A in the weighted graph. Compute the total weight.
-8-
B
с
E
D
Write the letter corresponding to the correct answer. c
a) A-C-D-E-B-A, 32
b) A-B-E-D-C-A, 32
c) A-D-E-B-C-A, 32
d) A-D-E-B-C-A, 31
e) A-B-E-D-C-A, 30
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