Determine whether the following paths are Hamilton circuits for the graph. If the path is not a Hamilton circuit, say why not. (a) A→E-C-D-E-BA (b) D→B-A→E→C→D (c) E→C-D-E→A (d) E-D C-B-E OA. Yes, it is a Hamilton circuit. B. No, because it visits the nonstarting vertex more than once. OC. No, because it does not visit vertex A Be с OA. Yes, it is a Hamilton circuit. OB. No, because it does not visit vertex. E D (a) Is A→E→C→D→E→B→A a Hamilton circuit? Select the correct choice below and, if necessary, fill in the answer box to complete your choic ... (b) Is D→B-A→E→C→D a Hamilton circuit? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. Yes, it is a Hamilton circuit. OB. No, because it visits the nonstarting vertex more than once. OC. No, because it does not visit vertex (c) Is E→C-D-E→A a Hamilton circuit? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 4P
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Determine whether the following paths are Hamilton circuits for the
graph. If the path is not a Hamilton circuit, say why not.
(a) A E→C-D-E-BA
(b) D-B-A→E→C→D
(c) E-C-D-E-A
(d) E-D C-B→E
B
с
OA. Yes, it is a Hamilton circuit.
OB. No, because it does not visit vertex
OC. No, because it visits the nonstarting vertex
E
(a) Is A→E→C→D→E→B→A a Hamilton circuit? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
more than once.
D
OA. Yes, it is a Hamilton circuit.
OB. No, because it visits the nonstarting vertex more than once.
OC. No, because it does not visit vertex
(b) Is D→B→A→E→C→D a Hamilt circuit? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. Yes, it is a Hamilton circuit.
OB. No, because it visits the nonstarting vertex more than once.
OC. No, because it does not visit vertex
(c) Is E→C-D-E→A a Hamilton circuit? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Transcribed Image Text:Determine whether the following paths are Hamilton circuits for the graph. If the path is not a Hamilton circuit, say why not. (a) A E→C-D-E-BA (b) D-B-A→E→C→D (c) E-C-D-E-A (d) E-D C-B→E B с OA. Yes, it is a Hamilton circuit. OB. No, because it does not visit vertex OC. No, because it visits the nonstarting vertex E (a) Is A→E→C→D→E→B→A a Hamilton circuit? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. more than once. D OA. Yes, it is a Hamilton circuit. OB. No, because it visits the nonstarting vertex more than once. OC. No, because it does not visit vertex (b) Is D→B→A→E→C→D a Hamilt circuit? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. Yes, it is a Hamilton circuit. OB. No, because it visits the nonstarting vertex more than once. OC. No, because it does not visit vertex (c) Is E→C-D-E→A a Hamilton circuit? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
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