2. (4 pts.) What is the difference between a Hamiltonian path and an Eulerian path? 3. (10 pts. total) A traveling salesman has to fly from the home base in Orlando to Atlanta, New York, and Chicago (although not necessarily in that order) and then return home. The current airline ticket prices in $ are given in the table below. Orlando Atlanta New York Chicago Orlando 400 480 450 Atlanta 400 360 470 New York 480 360 460 Chicago 450 470 460 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 (price) 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 (price) of the circuit. Remember to include the unit of measure in your fin answer.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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2. (4 pts.) What is the difference between a Hamiltonian path and an Eulerian path?
3. (10 pts. total) A traveling salesman has to fly from the home base in Orlando to Atlanta,
New York, and Chicago (although not necessarily in that order) and then return home. The
current airline ticket prices in $ are given in the table below.
Orlando
Atlanta
New York
Chicago
Orlando
400
480
450
Atlanta
400
360
470
New York
480
360
460
Chicago
450
470
460
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 (price) 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 (price) of the circuit. Remember to include the unit of
measure in your fin answer.
Transcribed Image Text:2. (4 pts.) What is the difference between a Hamiltonian path and an Eulerian path? 3. (10 pts. total) A traveling salesman has to fly from the home base in Orlando to Atlanta, New York, and Chicago (although not necessarily in that order) and then return home. The current airline ticket prices in $ are given in the table below. Orlando Atlanta New York Chicago Orlando 400 480 450 Atlanta 400 360 470 New York 480 360 460 Chicago 450 470 460 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 (price) 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 (price) of the circuit. Remember to include the unit of measure in your fin answer.
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