Refer to the accompanying graph. Complete parts (a) through (c) in order. (a) Use the nearest neighbor algorithm starting at each of the vertices in turn to determine an approximate solution to the problem of finding a minimum Hamilton circuit for the graph. In each case, find the total weight of the circuit. Starting at A, the circuit is V and the total weight is Starting at B, the circuit is V and the total weight is Starting at C, the circuit is V and the total weight is Starting at D, the circuit is V and the total weight is Starting at E, the circuit is V and the total weight is (Simplify your answers.) (b) Which of the circuits found in part (a) gives the best solution to the problem of finding a minimum Hamilton circuit for the graph? Select all that apply. OA. The circuit that started at A O B. The circuit that started at B. O C. The circuit that started at C. O D. The circuit that started at D. O E. The circuit that started at E. (c) Just by looking carefully at the graph, find a Hamilton circuit in the graph that has lower total weight than any of the circuits found in part (a). Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) O A. A-B-c--D-E-A, with a total weight of O B. D-C-B-E-A-D, with a total weight of OC. BA-E-C-D-B, with a total weight of O Time Remaining: 00:36:55 Submit test
Refer to the accompanying graph. Complete parts (a) through (c) in order. (a) Use the nearest neighbor algorithm starting at each of the vertices in turn to determine an approximate solution to the problem of finding a minimum Hamilton circuit for the graph. In each case, find the total weight of the circuit. Starting at A, the circuit is V and the total weight is Starting at B, the circuit is V and the total weight is Starting at C, the circuit is V and the total weight is Starting at D, the circuit is V and the total weight is Starting at E, the circuit is V and the total weight is (Simplify your answers.) (b) Which of the circuits found in part (a) gives the best solution to the problem of finding a minimum Hamilton circuit for the graph? Select all that apply. OA. The circuit that started at A O B. The circuit that started at B. O C. The circuit that started at C. O D. The circuit that started at D. O E. The circuit that started at E. (c) Just by looking carefully at the graph, find a Hamilton circuit in the graph that has lower total weight than any of the circuits found in part (a). Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) O A. A-B-c--D-E-A, with a total weight of O B. D-C-B-E-A-D, with a total weight of OC. BA-E-C-D-B, with a total weight of O Time Remaining: 00:36:55 Submit test
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:Refer to the accompanying graph. Complete parts (a) through (c) in order.
(a) Use the nearest neighbor algorithm starting at each of the vertices in turn to determine an approximate solution to the problem of finding a minimum Hamilton circuit for
the graph. In each case, find the total weight of the circuit.
Starting at A, the circuit is
V and the total weight is
Starting at B, the circuit is
V and the total weight is
Starting at C, the circuit is
V and the total weight is
Starting at D, the circuit is
V and the total weight is
Starting at E, the circuit is
V and the total weight is
(Simplify your answers.)
(b) Which of the circuits found in part (a) gives the best solution to the problem of finding a minimum Hamilton circuit for the graph? Select all that apply.
O A. The circuit that started at A.
O B. The circuit that started at B.
Oc. The circuit that started at C.
OD. The circuit that started at D.
O E. The circuit that started at E.
(c) Just by looking carefully at the graph, find a Hamilton
choice.
(Simplify your answer.)
O A. A-B-C-D-EA, with a total weight of
O B. D-C-B E→AD, with a total weight of
OC. B-A-E CD-B, with a total weight of
O Time Remaining: 00:36:55
Submit test
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