To check: whether it is possible to draw a connected graph in the plane with an odd number of regions, an odd number of vertices and an even number of edges or not, if possible draw the graph, if not explain the reason for that and also compare the response with the previous mindscape.

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Chapter 6.2, Problem 17MS

To determine

To check: whether it is possible to draw a connected graph in the plane with an odd number of regions, an odd number of vertices and an even number of edges or not, if possible draw the graph, if not explain the reason for that and also compare the response with the previous mindscape.

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In Flatland there are four cities, Abbott, Banchoff, Charlie and Dimension. The distance from The distance from Abbott to Banchoff is 9 miles. The distance from Abbott to Charlie is 8 miles. The distance from Abbott to Dimension is 11 miles. The distance from Banchoff to Charlie is 15 miles. The distance from Banchoff to Dimension is 13 miles. The distance from Charlie to Dimension is 12 miles. Sketch a graph to represent the traveling salesman problem for this situation, and find the length of the shortest path. Remember to begin and end in the same city. The shortest path is miles.

Graph theory can be used to help solve many real world problems. For example, we can use graph colorings to help us solve situations like the one described below. There are 10 people enrolled in the Extended Learning classes as part of a summer study abroad program. They are taking the classes as shown in the table. Darnal Elsie Mica Kiana Beatrix Ignacio Literature, Psychology, Game Design Hans Religion, Ethics Ethics, History, Literature Ethics, Game Design Psychology, Religion Religion, Psychology History, Religion Landry Literature, Sociology, Religion Jamie Literature, Ethics Callie Psychology, Game Design, Literature The host university needs to schedule final exams for these students and would like to use the minimum number of time slots required. We can use graph theory to help us analyze this situation. We begin by making a graph using the data in the table. Draw the following graph on a piece of paper. In our graph, each vertex represents one of the classes. Two vertices are…

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Answer 2

Question

Chapter 6.2, Problem 17MS

To determine

To check: whether it is possible to draw a connected graph in the plane with an odd number of regions, an odd number of vertices and an even number of edges or not, if possible draw the graph, if not explain the reason for that and also compare the response with the previous mindscape.

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Answer 3

Question

Chapter 6.2, Problem 17MS

To determine

To check: whether it is possible to draw a connected graph in the plane with an odd number of regions, an odd number of vertices and an even number of edges or not, if possible draw the graph, if not explain the reason for that and also compare the response with the previous mindscape.

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Answer 4

Question

Chapter 6.2, Problem 17MS

To determine

To check: whether it is possible to draw a connected graph in the plane with an odd number of regions, an odd number of vertices and an even number of edges or not, if possible draw the graph, if not explain the reason for that and also compare the response with the previous mindscape.

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Answer 5

Chapter 6.2, Problem 17MS

To determine

To check: whether it is possible to draw a connected graph in the plane with an odd number of regions, an odd number of vertices and an even number of edges or not, if possible draw the graph, if not explain the reason for that and also compare the response with the previous mindscape.

Answer 6

Chapter 6.2, Problem 17MS

To determine

To check: whether it is possible to draw a connected graph in the plane with an odd number of regions, an odd number of vertices and an even number of edges or not, if possible draw the graph, if not explain the reason for that and also compare the response with the previous mindscape.

Answer 7

Chapter 6.2, Problem 17MS

To determine

To check: whether it is possible to draw a connected graph in the plane with an odd number of regions, an odd number of vertices and an even number of edges or not, if possible draw the graph, if not explain the reason for that and also compare the response with the previous mindscape.

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 6.1 - Map maker, map maker make me a graph. Represent...Ch. 6.1 - Unabridged list. Represent cach landmass from...Ch. 6.1 - Will the walk work? Does your graph from...Ch. 6.1 - Walk around the house. Is it possibel to traverse...Ch. 6.1 - Walk the line. Does this graph above have an Euler...Ch. 6.1 - Walkabout. Does this graph have an Euler circuit?...Ch. 6.1 - Linking the loops. In this map, the following...Ch. 6.1 - Scenic drive. (S) Here is a map of Rockystone...Ch. 6.1 - Under-edged. (H) Does this graph have an Euler...Ch. 6.1 - No man is an island. The country of Pelago...

To check: whether it is possible to draw a connected graph in the plane with an odd number of regions, an odd number of vertices and an even number of edges or not, if possible draw the graph, if not explain the reason for that and also compare the response with the previous mindscape.

Solution Summary: The author explains that it is possible to draw a connected graph in the plane with an odd number of regions, and vertices.

To check: whether it is possible to draw a connected graph in the plane with an odd number of regions, an odd number of vertices and an even number of edges or not, if possible draw the graph, if not explain the reason for that and also compare the response with the previous mindscape.

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Chapter 6 Solutions