1)determine |v|,given that G=(v,e) is regular graph with 12 edges?2)let G=(V,E) be a connected graph.What is the largest possible value of|V| if |E|=16 and deg(v)>=5 for all v belonging V?
You failed to say if these questions are about simple graphs or not.
Lets assume they are. You should know that .
Then what is a regular graph? If you know that the answer to the first is immediate.
The complete graph has each vertex of degree five.
However, and . If these are not simple graphs then we can add an edge,