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A person starting in Columbus must visit Great Falls, Odessa, and Brownsville (although not necessarily in that order), and then return home to Columbus in one car trip. The road mileage between the cities is shown. 3. Columbus Great Falls Odessa Brownsville Columbus 102 79 56 --- Great Falls 102 47 69 --- Odessa 79 47 72 --- Brownsville 56 69 72 --- a) Draw a weighted graph that represents this problem in the space below. Use the first letter of the city when labeling each vertex. b) Find the weight (distance) of the Hamiltonian circuit formed using the nearest neighbor algorithm. Give the vertices in the circuit in the order they are visited in the circuit as well as the total weight (distance) of the circuit. Remember to include the unit of measure in your final answer.

A person starting in Columbus must visit Great Falls, Odessa, and Brownsville (although not necessarily in that order), and then return home to Columbus in one car trip. The road mileage between the cities is shown. 3. Columbus Great Falls Odessa Brownsville Columbus 102 79 56 --- Great Falls 102 47 69 --- Odessa 79 47 72 --- Brownsville 56 69 72 --- a) Draw a weighted graph that represents this problem in the space below. Use the first letter of the city when labeling each vertex. b) Find the weight (distance) of the Hamiltonian circuit formed using the nearest neighbor algorithm. Give the vertices in the circuit in the order they are visited in the circuit as well as the total weight (distance) of the circuit. Remember to include the unit of measure in your final answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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A person starting in Columbus must visit Great Falls, Odessa, and Brownsville (although not necessarily in that order), and then return home to Columbus in one car trip. The road mileage between the cities is shown. 3. Columbus Great Falls Odessa Brownsville Columbus 102 79 56 --- Great Falls 102 47 69 --- Odessa 79 47 72 ---- Brownsville 56 69 72 a) Draw a weighted graph that represents this problem in the space below. Use the first letter of the city when labeling each vertex. b) Find the weight (distance) of the Hamiltonian circuit formed using the nearest neighbor algorithm. Give the vertices in the circuit in the order they are visited in the circuit as well as the total weight (distance) of the circuit. Remember to include the unit of measure in your final answer. Find a Hamiltonian circuit in the following graph. (There is more than one possible answer.) Either clearly mark the path you take with directional arrows and numbers or list the vertices in the order that you visit them. A B D E F
Transcribed Image Text:A person starting in Columbus must visit Great Falls, Odessa, and Brownsville (although not necessarily in that order), and then return home to Columbus in one car trip. The road mileage between the cities is shown. 3. Columbus Great Falls Odessa Brownsville Columbus 102 79 56 --- Great Falls 102 47 69 --- Odessa 79 47 72 ---- Brownsville 56 69 72 a) Draw a weighted graph that represents this problem in the space below. Use the first letter of the city when labeling each vertex. b) Find the weight (distance) of the Hamiltonian circuit formed using the nearest neighbor algorithm. Give the vertices in the circuit in the order they are visited in the circuit as well as the total weight (distance) of the circuit. Remember to include the unit of measure in your final answer. Find a Hamiltonian circuit in the following graph. (There is more than one possible answer.) Either clearly mark the path you take with directional arrows and numbers or list the vertices in the order that you visit them. A B D E F
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