Number of vertices is 14.  Create a weighted connected graph with... Number of vertices is 14.  Create a weighted connected graph with the following characteristics: The assigned number of vertices are alphabetically labeled starting with A. Vertex Ais not adjacent to vertex G. At leasttwo vertices have a degree greater than 2. Allweights are greater than 0. No weights are the same.   Identify the degree ofeach vertex in your graph. Explain whether the graph has a Euler trail, using definitions, properties, or theorems. Describe a path from vertex Ato G. Find the total weight of the path from part F3. Show all work.

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Number of vertices is 14.  Create a weighted connected graph with...

Number of vertices is 14. 

  1. Create a weighted connected graph with the following characteristics:
  • The assigned number of vertices are alphabetically labeled starting with A.
  • Vertex Ais not adjacent to vertex G.
  • At leasttwo vertices have a degree greater than 2.
  • Allweights are greater than 0.
  • No weights are the same.

 

  1. Identify the degree ofeach vertex in your graph.
  2. Explain whether the graph has a Euler trail, using definitions, properties, or theorems.
  3. Describe a path from vertex Ato G.
  4. Find the total weight of the path from part F3. Show all work.
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