Part 3: Graph Theory Use your assigned number of vertices (14) 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.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Part 3: Graph Theory
Use your assigned number of vertices (14) 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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So, if the question is asking for at least 2 vertices that have a degree of more than 2, two of the vertex would have to be at least 3 right?

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