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.
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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