Posted by Joy on Tuesday, August 6, 2013 at 7:55pm.
Let G be a graph with vertex set V = { v1, v2, v3, v4, v5}.
Is it possible for the degrees of the vertices to be 3, 6, 2, 1, 5, respectively? Why or why not?

Discrete Mathematics  MathMate, Thursday, August 8, 2013 at 9:59pm
See your next post to find out how to calculate the number of edges.
Hence deduce if such a graph can exist or not. 
Discrete Mathematics  Joy, Friday, August 9, 2013 at 1:45pm
MathMate: Is this correct for the following problem?
3 + 6 + 2 + 1 + 5
2E = 17
E = 8.5
If your allowed to have a decimal as an answer, then to come up with the answer for the amount of edges then yes it is possible for the degrees of the vertices to be 3, 6, 2, 1, 5. If your not allowed to have a decimal as an answer for the amount of edges, then no its not possible for the degrees of the vertices to be 3, 6, 2, 1, 5.