a) List all the odd vertices of the graph.b) According to Euler’s Theorem, does the graph have an Eulerian circuit? Howdo you know?c) According to Euler’s Theorem, does the graph have an Eulerian path? Howdo you know?What is the difference between a Hamiltonian path and an Eulerian path?A person starting in Columbus must-visit Great Falls, Odessa, andBrownsville (although not necessarily in that order), and then return home toColumbus in one car trip. The road mileage between the cities is shown ColumbusGreat FallsOdessaBrownsvilleColumbus---1027956Great Falls102---4769Odessa7947---72Brownsville566972---Draw a weighted graph that represents this problem in the space below. Use the first letter of the city when labeling each vertex.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. . АВDE

(a) The odd vertices are the vertices that have odd degrees, that is, having odd number of edges…

Answered: List all the odd vertices of the graph.…

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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Related questions

Question

a) List all the odd vertices of the graph.
b) According to Euler’s Theorem, does the graph have an Eulerian circuit? How
do you know?
c) According to Euler’s Theorem, does the graph have an Eulerian path? How
do you know?

What is the difference between a Hamiltonian path and an Eulerian path?

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

	Columbus	Great Falls	Odessa	Brownsville
Columbus	---	102	79	56
Great Falls	102	---	47	69
Odessa	79	47	---	72
Brownsville	56	69	72	---

Draw a weighted graph that represents this problem in the space below. Use the first letter of the city when labeling each vertex.
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.