Part 3 - Number is 9 Part 3: Graph Theory Use your assigned number of vertices from “Part 3” of the “Finite Math Assignment Form: Task 3” supporting document to do the following:   F.  Create a weighted connected graph with the following characteristics: •  The assigned number of vertices are alphabetically labeled starting with A. •  Vertex A is not adjacent to vertex G. •  At least two vertices have a degree greater than 2. •  All weights are greater than 0. •  No weights are the same.   1.  Identify the degree of each vertex in your graph. 2.  Explain whether the graph has an Euler trail, using definitions, properties, or theorems. 3.  Describe a path from vertex A to G. 4.  Find the total weight of the path from part F3. Show all work.

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter10: Classes And Data Abstraction
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Part 3 - Number is 9

Part 3: Graph Theory
Use your assigned number of vertices from “Part 3” of the “Finite Math Assignment Form: Task 3” supporting document to do the following:
 

F.  Create a weighted connected graph with the following characteristics:

•  The assigned number of vertices are alphabetically labeled starting with A.

•  Vertex A is not adjacent to vertex G.

•  At least two vertices have a degree greater than 2.

•  All weights are greater than 0.

•  No weights are the same.
 

1.  Identify the degree of each vertex in your graph.

2.  Explain whether the graph has an Euler trail, using definitions, properties, or theorems.

3.  Describe a path from vertex A to G.

4.  Find the total weight of the path from part F3. Show all work.
 

 

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