Assigned number = 11 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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